%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV879-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:27:37 PM UTC 2026
% Result : Unsatisfiable 3.44s 2.68s
% Output : CNFRefutation 21.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_914)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_singleton__conv2_0,axiom,
c_Collect(c_fequal(X1,X2),X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_complete__lattice_Oinf__Inf__fold__inf_0,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X6,X7,X8,X1,X9,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_Oinf__Inf__fold__inf_0) ).
cnf(cls_fold__def_0,axiom,
c_Finite__Set_Ofold(X1,X2,X3,X4,X5) = c_The(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__def_0) ).
cnf(cls_complete__lattice_Osup__Sup__fold__sup_0,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X7,X8,X9,X1,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_Osup__Sup__fold__sup_0) ).
cnf(cls_complete__lattice_OInf__fold__inf_0,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X3,X9,X10,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__fold__inf_0) ).
cnf(cls_complete__lattice_OSup__fold__sup_0,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X3,X4,X10,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__fold__sup_0) ).
cnf(cls_fold__sup__insert_0,axiom,
( c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X4,X1,X1))
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__sup__insert_0) ).
cnf(cls_fold__inf__insert_0,axiom,
( c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X4,X1,X1))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__inf__insert_0) ).
cnf(cls_fold__inf__le__inf_0,axiom,
( c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X4,X3,X1))
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__inf__le__inf_0) ).
cnf(cls_sup__le__fold__sup_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X3,X4,X1,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__le__fold__sup_0) ).
cnf(cls_comm__monoid__add_Ofold1__eq__fold_0,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
| hBOOL(c_in(X2,X3,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofold1__eq__fold_0) ).
cnf(cls_fold1__eq__fold_0,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(X1),X2,X3,X1,X1)
| hBOOL(c_in(X2,X3,X1))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__eq__fold_0) ).
cnf(cls_ab__semigroup__mult_Ofold1__eq__fold_0,axiom,
( hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2)) = c_Finite__Set_Ofold(X1,X3,X4,X2,X2)
| hBOOL(c_in(X3,X4,X2))
| ~ c_Finite__Set_Ofinite(X4,X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold1__eq__fold_0) ).
cnf(cls_fold1__eq__fold__idem_0,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(X1),X2,X3,X1,X1)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__eq__fold__idem_0) ).
cnf(cls_sup__Sup__fold__sup_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,X1)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X3,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__Sup__fold__sup_0) ).
cnf(cls_inf__Inf__fold__inf_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__Inf__fold__inf_0) ).
cnf(cls_fold__empty_0,axiom,
c_Finite__Set_Ofold(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__empty_0) ).
cnf(cls_Sup__fold__sup_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(X2,X1) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1),X2,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__fold__sup_0) ).
cnf(cls_Inf__fold__inf_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(X2,X1) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1),X2,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__fold__inf_0) ).
cnf(cls_Int__Collect_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),c_Collect(X4,X3)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_0) ).
cnf(cls_Int__Collect_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),c_Collect(X1,X3)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_1) ).
cnf(cls_Int__Collect_2,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Collect(X4,X2)),X2))
| ~ hBOOL(hAPP(X4,X1))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_2) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_fequal(X1,X3),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(c_fequal(X1,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_the__sym__eq__trivial_0,axiom,
c_The(c_fequal(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__sym__eq__trivial_0) ).
cnf(cls_CollectD_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Collect(X1,X3),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectD_0) ).
cnf(cls_CollectI_0,axiom,
( hBOOL(c_in(X1,c_Collect(X2,X3),X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectI_0) ).
cnf(cls_empty__Collect__eq_0,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Collect(X2,X1)
| ~ hBOOL(hAPP(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Collect__eq_0) ).
cnf(cls_Collect__empty__eq_0,axiom,
( c_Collect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__empty__eq_0) ).
cnf(cls_complete__lattice_OInf__binary_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__binary_0) ).
cnf(cls_complete__lattice_OSup__binary_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__binary_0) ).
cnf(cls_complete__lattice_OInf__lower_0,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__lower_0) ).
cnf(cls_complete__lattice_OSup__upper_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__upper_0) ).
cnf(cls_complete__lattice_OInf__singleton_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__singleton_0) ).
cnf(cls_complete__lattice_OSup__singleton_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__singleton_0) ).
cnf(cls_complete__lattice_OInf__insert_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__insert_0) ).
cnf(cls_complete__lattice_OSup__insert_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__insert_0) ).
cnf(cls_complete__lattice_OInf__UNIV_0,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__UNIV_0) ).
cnf(cls_complete__lattice_OSup__UNIV_0,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__UNIV_0) ).
cnf(cls_complete__lattice_OInf__empty_0,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__empty_0) ).
cnf(cls_complete__lattice_OSup__empty_0,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__empty_0) ).
cnf(cls_comm__monoid__add_Ofold__graph__permute__diff_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1),X1,X1),X5))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofold__graph__permute__diff_0) ).
cnf(cls_fold__graph__permute__diff_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1),X1,X1),X5))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X3,X4,X1,X1),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph__permute__diff_0) ).
cnf(cls_ab__semigroup__mult_Ofold__graph__permute__diff_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5),X5,X5),X6))
| hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X5),X6))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold__graph__permute__diff_0) ).
cnf(cls_Diff1__fold__graph_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),hAPP(hAPP(X1,X6),X7)))
| ~ hBOOL(c_in(X6,X3,X4))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff1__fold__graph_0) ).
cnf(cls_comm__monoid__add_Ofold__graph__insert__swap_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X5)))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofold__graph__insert__swap_0) ).
cnf(cls_fold__graph__insert__swap_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5)))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X3,X4,X1,X1),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph__insert__swap_0) ).
cnf(cls_ab__semigroup__mult_Ofold__graph__insert__swap_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X5),hAPP(hAPP(X1,X2),X6)))
| hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X5),X6))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold__graph__insert__swap_0) ).
cnf(cls_fold__graph_OinsertI_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6),hAPP(hAPP(X1,X3),X7)))
| hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X4,X5,X6),X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_OinsertI_0) ).
cnf(cls_Un__Int__crazy_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
cnf(cls_fold1Set_Ointros_0,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X4),X4),X5))
| hBOOL(c_in(X2,X3,X4))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X4),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1Set_Ointros_0) ).
cnf(cls_image__cong_1,axiom,
( c_Set_Oimage(X1,X2,X4,X5) = c_Set_Oimage(X3,X2,X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X3,X4,X5)) != hAPP(X3,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X3,X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__cong_1) ).
cnf(cls_empty__fold__graphE_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__fold__graphE_0) ).
cnf(cls_fold__graph__imp__finite_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X3,X4,X1,X2,X5),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph__imp__finite_0) ).
cnf(cls_assms_I3_J_1,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_1) ).
cnf(cls_fun__upd__twist_0,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__twist_0) ).
cnf(cls_image__iff_0,axiom,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
| ~ hBOOL(c_in(X3,c_Set_Oimage(X2,X1,X4,X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_0) ).
cnf(cls_imageE_1,axiom,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X2,X3,X4,X5),X1,X4))
| ~ hBOOL(c_in(X2,c_Set_Oimage(X3,X1,X4,X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageE_1) ).
cnf(cls_inj__on__insert_1,axiom,
( ~ hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).
cnf(cls_image__cong_0,axiom,
( c_Set_Oimage(X1,X2,X3,X4) = c_Set_Oimage(X5,X2,X3,X4)
| hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X5,X3,X4),X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__cong_0) ).
cnf(cls_inj__on__Un_3,axiom,
( c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),X3),X4),X5,X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,X4,X5,X1)
| ~ c_Fun_Oinj__on(X2,X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_3) ).
cnf(cls_fold__graph_OemptyI_0,axiom,
hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_OemptyI_0) ).
cnf(cls_inv__into__injective_0,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4))
| ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__injective_0) ).
cnf(cls_setsum__Un__Int_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1)),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5),X3,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)),c_Finite__Set_Osetsum(X2,X5,X3,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X5,X3)
| ~ c_Finite__Set_Ofinite(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__Un__Int_0) ).
cnf(cls_fun__upd__upd_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).
cnf(cls_setsum__Un_0,axiom,
( c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)),c_Finite__Set_Osetsum(X2,X5,X3,X1)),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5),X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_Finite__Set_Ofinite(X5,X3)
| ~ c_Finite__Set_Ofinite(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__Un_0) ).
cnf(cls_le__add__iff1_1,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4),X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__iff1_1) ).
cnf(cls_less__add__iff1_1,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4),X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__add__iff1_1) ).
cnf(cls_le__add__iff2_1,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__iff2_1) ).
cnf(cls_less__add__iff2_1,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__add__iff2_1) ).
cnf(cls_fun__upd__image_0,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ hBOOL(c_in(X2,X6,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_0) ).
cnf(cls_image__Int__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
cnf(cls_inj__on__insert_2,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).
cnf(cls_image__iff_1,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(X3,X2,X1,X4,X5))
| ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_1) ).
cnf(cls_imageE_0,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__XimageE__1__1(X3,X1,X2,X4,X5))
| ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageE_0) ).
cnf(cls_inj__on__fun__updI_0,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| hBOOL(c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__fun__updI_0) ).
cnf(cls_le__add__iff1_0,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__iff1_0) ).
cnf(cls_less__add__iff1_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__add__iff1_0) ).
cnf(cls_le__add__iff2_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X3,X4,X1)),X5)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)),X6),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__iff2_0) ).
cnf(cls_less__add__iff2_0,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X3,X4,X1)),X5)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)),X6),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__add__iff2_0) ).
cnf(cls_card__Diff2__less_0,axiom,
( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ hBOOL(c_in(X4,X1,X3))
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff2__less_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_inv__into__into_0,axiom,
( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
| ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__into_0) ).
cnf(cls_inj__on__Un_2,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),X3),X4),X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_2) ).
cnf(cls_vimage__singleton__eq_0,axiom,
( hAPP(X1,X2) = X3
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_0) ).
cnf(cls_fun__upd__image_1,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| hBOOL(c_in(X2,X6,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_1) ).
cnf(cls_image__diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).
cnf(cls_vimage__insert_0,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4)),c_Set_Ovimage(X1,X3,X5,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__insert_0) ).
cnf(cls_inj__on__image__Int_0,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__Int_0) ).
cnf(cls_f__inv__into__f_0,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_f__inv__into__f_0) ).
cnf(cls_eq__add__iff2_1,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X4,X2,X1)),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__add__iff2_1) ).
cnf(cls_eq__add__iff1_1,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4))
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__add__iff1_1) ).
cnf(cls_card__bij__eq_0,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X5,X3,X4,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X5,X3,X4,X2)
| ~ c_lessequals(c_Set_Oimage(X6,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__bij__eq_0) ).
cnf(cls_image__Int_0,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int_0) ).
cnf(cls_fun__upd__other_0,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).
cnf(cls_fun__upd__apply_1,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_1) ).
cnf(cls_fun__upd__apply_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
cnf(cls_fun__upd__same_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
cnf(cls_inj__image__mem__iff_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
cnf(cls_setsum__Un__disjoint_0,axiom,
( c_Finite__Set_Osetsum(X5,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X5,X3,X2,X1)),c_Finite__Set_Osetsum(X5,X4,X2,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__Un__disjoint_0) ).
cnf(cls_UN__Un_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,X1,tc_fun(X5,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X1,tc_fun(X5,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__Un_0) ).
cnf(cls_inj__image__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).
cnf(cls_setsum__diff1_H_0,axiom,
( c_Finite__Set_Osetsum(X2,X3,X4,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X5)),c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ hBOOL(c_in(X5,X3,X4))
| ~ c_Finite__Set_Ofinite(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1_H_0) ).
cnf(cls_vimage__Un_0,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Un_0) ).
cnf(cls_vimage__Int_0,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Int_0) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
cnf(cls_vimage__singleton__eq_1,axiom,
hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_1) ).
cnf(cls_inj__on__image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_0) ).
cnf(cls_vimage__subsetI_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).
cnf(cls_image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__set__diff_0) ).
cnf(cls_eq__add__iff1_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4) = X6
| ~ class_Ring__and__Field_Oring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__add__iff1_0) ).
cnf(cls_eq__add__iff2_0,axiom,
( X4 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6)
| ~ class_Ring__and__Field_Oring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__add__iff2_0) ).
cnf(cls_fun__upd__idem__iff_0,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).
cnf(cls_vimageD_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageD_0) ).
cnf(cls_vimageE_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageE_0) ).
cnf(cls_Un__Int__assoc__eq_0,axiom,
( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
cnf(cls_combine__common__factor_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)
| ~ class_Ring__and__Field_Osemiring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_combine__common__factor_0) ).
cnf(cls_inv__image__comp_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__image__comp_0) ).
cnf(cls_image__inv__f__f_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__inv__f__f_0) ).
cnf(cls_inj__image__mem__iff_1,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).
cnf(cls_inv__into__image__cancel_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__image__cancel_0) ).
cnf(cls_Un__Int__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
cnf(cls_Int__Un__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
cnf(cls_fold1Set__sing_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1Set__sing_0) ).
cnf(cls_vimage__code_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__code_0) ).
cnf(cls_inj__image__subset__iff_1,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).
cnf(cls_inj__on__inv__into_0,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__inv__into_0) ).
cnf(cls_UN__I_0,axiom,
( hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))
| ~ hBOOL(c_in(X1,hAPP(X3,X6),X5))
| ~ hBOOL(c_in(X6,X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__I_0) ).
cnf(cls_UN__iff_2,axiom,
( hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))
| ~ hBOOL(c_in(X1,hAPP(X3,X6),X5))
| ~ hBOOL(c_in(X6,X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__iff_2) ).
cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).
cnf(cls_setsum__diff1__ring_0,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__ring_0) ).
cnf(cls_setsum__diff1_0,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1_0) ).
cnf(cls_setsum__diff_0,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),c_Finite__Set_Osetsum(X2,X4,X5,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_lessequals(X4,X3,tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff_0) ).
cnf(cls_assms_I3_J_0,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| hBOOL(c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname))
| ~ v_wt(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_0) ).
cnf(cls_endo__inj__surj_0,axiom,
( c_Set_Oimage(X1,X2,X3,X3) = X2
| ~ c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_endo__inj__surj_0) ).
cnf(cls_image__vimage__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).
cnf(cls_vimage__subset__eq_1,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Obij(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__subset__eq_1) ).
cnf(cls_vimage__subset__eq_0,axiom,
( c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Set_Ovimage(X2,X1,X4,X5),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Obij(X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__subset__eq_0) ).
cnf(cls_psubset__insert__iff_8,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_8) ).
cnf(cls_psubset__insert__iff_4,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X3,X4))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_4) ).
cnf(cls_image__vimage__eq_0,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__eq_0) ).
cnf(cls_vimage__Diff_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Diff_0) ).
cnf(cls_psubset__insert__iff_9,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_9) ).
cnf(cls_card__Diff1__less_0,axiom,
( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff1__less_0) ).
cnf(cls_psubset__insert__iff_5,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X3,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_5) ).
cnf(cls_UN__extend__simps_I2_J_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),X4) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I2_J_0) ).
cnf(cls_Un__Int__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
cnf(cls_Int__Un__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
cnf(cls_card__inj__on__le_0,axiom,
( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X4),tc_nat)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_lessequals(c_Set_Oimage(X5,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X5,X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__inj__on__le_0) ).
cnf(cls_SUP1__I_0,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(c_in(X6,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP1__I_0) ).
cnf(cls_SUP1__iff_2,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(c_in(X6,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP1__iff_2) ).
cnf(cls_card__Suc__Diff1_0,axiom,
( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)) = c_Finite__Set_Ocard(X1,X3)
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__Diff1_0) ).
cnf(cls_subset__insert__iff_3,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).
cnf(cls_diff__single__insert_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).
cnf(cls_rangeI_0,axiom,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_vimageI_0,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI_0) ).
cnf(cls_vimageI2_0,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI2_0) ).
cnf(cls_vimage__eq_1,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__eq_1) ).
cnf(cls_Nitpick_OEx1__def_2,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_OEx1__def_2) ).
cnf(cls_subset__insert__iff_4,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).
cnf(cls_imageI_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
cnf(cls_image__eqI_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__eqI_0) ).
cnf(cls_image__iff_2,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_2) ).
cnf(cls_rev__image__eqI_0,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_card__insert_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert_0) ).
cnf(cls_UnE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
cnf(cls_card__Diff1__le_0,axiom,
( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff1__le_0) ).
cnf(cls_Un__Int__assoc__eq_1,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
cnf(cls_inj__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
cnf(cls_UN__subset__iff_0,axiom,
( c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1,X6,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__subset__iff_0) ).
cnf(cls_image__subset__iff_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_fun__upd__idem__iff_1,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
cnf(cls_fun__upd__triv_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__triv_0) ).
cnf(cls_fun__upd__idem_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).
cnf(cls_psubset__insert__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| hBOOL(c_in(X2,X4,X3))
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_1) ).
cnf(cls_inj__vimage__image__eq_0,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_0) ).
cnf(cls_setsum__diff1_1,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetsum(X2,X3,X5,X1)
| hBOOL(c_in(X4,X3,X5))
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1_1) ).
cnf(cls_finite__imageD_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,X1,X2,X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageD_0) ).
cnf(cls_vimage__mono_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__mono_0) ).
cnf(cls_image__mono_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).
cnf(cls_subset__image__iff_2,axiom,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
cnf(cls_IntE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_0) ).
cnf(cls_IntE_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_1) ).
cnf(cls_UN__absorb_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,tc_fun(X1,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,tc_fun(X1,tc_bool))
| ~ hBOOL(c_in(X3,X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__absorb_0) ).
cnf(cls_bij__vimage__eq__inv__image_0,axiom,
( c_Set_Ovimage(X1,X2,X3,X4) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X1,X3,X4),X2,X4,X3)
| ~ c_Fun_Obij(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__vimage__eq__inv__image_0) ).
cnf(cls_finite__surj__inj_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__surj__inj_0) ).
cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_0) ).
cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_0) ).
cnf(cls_vimage__code_1,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__code_1) ).
cnf(cls_Un__assoc_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
cnf(cls_Int__assoc_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
cnf(cls_subset__insert__iff_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).
cnf(cls_card__image__le_0,axiom,
( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4),c_Finite__Set_Ocard(X2,X3),tc_nat)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__image__le_0) ).
cnf(cls_UN__insert_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),hAPP(X4,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__insert_0) ).
cnf(cls_inv__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__f_0) ).
cnf(cls_inv__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__eq_0) ).
cnf(cls_finite__UN_0,axiom,
( c_Finite__Set_Ofinite(hAPP(X1,X2),X3)
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UN_0) ).
cnf(cls_inv__into__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ hBOOL(c_in(X5,X1,X3))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__f_0) ).
cnf(cls_inv__into__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
| ~ hBOOL(c_in(X1,X2,X3))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__eq_0) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
cnf(cls_setsum__insert_0,axiom,
( c_Finite__Set_Osetsum(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X3)),c_Finite__Set_Osetsum(X2,X4,X5,X1))
| hBOOL(c_in(X3,X4,X5))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__insert_0) ).
cnf(cls_eq__card__imp__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__card__imp__inj__on_0) ).
cnf(cls_fold1Set__sing_1,axiom,
hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1Set__sing_1) ).
cnf(cls_inj__on__Un_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).
cnf(cls_inj__on__Un_1,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X2),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).
cnf(cls_min__max_Odistrib__inf__le_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Odistrib__inf__le_0) ).
cnf(cls_distrib__inf__le_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).
cnf(cls_min__max_Odistrib__sup__le_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Odistrib__sup__le_0) ).
cnf(cls_distrib__sup__le_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__sup__le_0) ).
cnf(cls_comm__monoid__add_Ofold1__Un_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X3))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofold1__Un_0) ).
cnf(cls_fold1__Un_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__Un_0) ).
cnf(cls_IntI_0,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntI_0) ).
cnf(cls_Int__iff_2,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__iff_2) ).
cnf(cls_Diff__Int2_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).
cnf(cls_sup1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
cnf(cls_finite__vimageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__vimageI_0) ).
cnf(cls_insert__image_0,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(c_in(X2,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
cnf(cls_ab__semigroup__mult_Ofold1__Un_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(c_Finite__Set_Ofold1(X4,X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(X4,hAPP(c_Finite__Set_Ofold1(X4,X1),X2)),hAPP(c_Finite__Set_Ofold1(X4,X1),X3))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold1__Un_0) ).
cnf(cls_inv__inv__eq_0,axiom,
( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2,X1),X1,X2) = X3
| ~ c_Fun_Obij(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__inv__eq_0) ).
cnf(cls_inf1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_0) ).
cnf(cls_inf1E_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_1) ).
cnf(cls_Un__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X1,tc_bool))),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff_0) ).
cnf(cls_Diff__Un_0,axiom,
c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Un_0) ).
cnf(cls_Diff__Int_0,axiom,
c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int_0) ).
cnf(cls_Diff__Int__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
cnf(cls_Nitpick_OEx1__def_3,axiom,
( X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_OEx1__def_3) ).
cnf(cls_finite__surj_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__surj_0) ).
cnf(cls_inj__on__iff__eq__card_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__iff__eq__card_0) ).
cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X5))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I15_J_0) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_card__image_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__image_0) ).
cnf(cls_finite__vimage__iff_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
| ~ c_Fun_Obij(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__vimage__iff_0) ).
cnf(cls_Un__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_Int__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__mono_0) ).
cnf(cls_Int__insert__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
| ~ hBOOL(c_in(X2,X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
cnf(cls_Un__left__commute_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
cnf(cls_Int__left__commute_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
cnf(cls_UnCI_1,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
cnf(cls_UnCI_0,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
cnf(cls_singletonE_0,axiom,
( X1 = X2
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
cnf(cls_doubleton__eq__iff_0,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
cnf(cls_doubleton__eq__iff_1,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
cnf(cls_doubleton__eq__iff_2,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
cnf(cls_doubleton__eq__iff_3,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
cnf(cls_Diff__insert2_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).
cnf(cls_DiffE_1,axiom,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_1) ).
cnf(cls_ivl__disj__un_I5_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__un_I5_J_0) ).
cnf(cls_UN__upper_0,axiom,
( c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ hBOOL(c_in(X2,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__upper_0) ).
cnf(cls_fold1__Un2_0,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__Un2_0) ).
cnf(cls_inj__on__insert_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
cnf(cls_insert__Diff_0,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).
cnf(cls_insert__inter__insert_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
cnf(cls_UN__extend__simps_I1_J_0,axiom,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I1_J_0) ).
cnf(cls_Diff__subset__conv_1,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).
cnf(cls_inj__on__diff_0,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).
cnf(cls_UN__extend__simps_I3_J_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I3_J_0) ).
cnf(cls_inj__onD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__onD_0) ).
cnf(cls_inj__on__def_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__def_0) ).
cnf(cls_inj__on__iff_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).
cnf(cls_inj__on__contraD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).
cnf(cls_DiffE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_0) ).
cnf(cls_Int__insert__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
| ~ hBOOL(c_in(X3,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).
cnf(cls_finite__Diff__insert_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff__insert_0) ).
cnf(cls_subset__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
cnf(cls_le__SUPI_0,axiom,
( c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X3,X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SUPI_0) ).
cnf(cls_bij__imp__bij__inv_0,axiom,
( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),X3,X1)
| ~ c_Fun_Obij(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__imp__bij__inv_0) ).
cnf(cls_card__Diff__singleton__if_1,axiom,
( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
| hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__singleton__if_1) ).
cnf(cls_Un__Diff__Int_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__Int_0) ).
cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_1) ).
cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_1) ).
cnf(cls_Int__greaterThanAtMost_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X4,X5,X1)) = c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__greaterThanAtMost_0) ).
cnf(cls_Int__atLeastAtMost_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__atLeastAtMost_0) ).
cnf(cls_Int__atLeastLessThan_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X1)) = c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__atLeastLessThan_0) ).
cnf(cls_Diff__subset__conv_0,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).
cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I20_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I13_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I14_J_0) ).
cnf(cls_INT__extend__simps_I4_J_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_INT__extend__simps_I4_J_0) ).
cnf(cls_ivl__disj__un_I6_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__un_I6_J_0) ).
cnf(cls_empty__fold1SetE_0,axiom,
~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__fold1SetE_0) ).
cnf(cls_DiffI_0,axiom,
( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
| hBOOL(c_in(X1,X3,X4))
| ~ hBOOL(c_in(X1,X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffI_0) ).
cnf(cls_Diff__iff_2,axiom,
( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
| hBOOL(c_in(X1,X3,X4))
| ~ hBOOL(c_in(X1,X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__iff_2) ).
cnf(cls_ivl__disj__un_I20_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__un_I20_J_0) ).
cnf(cls_ivl__disj__un_I22_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__un_I22_J_0) ).
cnf(cls_ivl__disj__un_I21_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__un_I21_J_0) ).
cnf(cls_ivl__disj__un_I17_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__un_I17_J_0) ).
cnf(cls_Un__insert__left_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
cnf(cls_inf1I_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1I_0) ).
cnf(cls_UNION__empty__conv_I2_J_0,axiom,
( hAPP(X2,X5) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X5,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNION__empty__conv_I2_J_0) ).
cnf(cls_UNION__empty__conv_I1_J_0,axiom,
( hAPP(X3,X5) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))
| ~ hBOOL(c_in(X5,X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNION__empty__conv_I1_J_0) ).
cnf(cls_insert__Diff__single_0,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).
cnf(cls_atLeastatMost__psubset__iff_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X5,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_2) ).
cnf(cls_Int__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
cnf(cls_sup1CI_1,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
cnf(cls_sup1CI_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
cnf(cls_Un__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
cnf(cls_Un__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
cnf(cls_Int__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).
cnf(cls_Int__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
cnf(cls_atLeastatMost__psubset__iff_6,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_6) ).
cnf(cls_atLeastatMost__psubset__iff_5,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_5) ).
cnf(cls_finite__Diff__insert_1,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff__insert_1) ).
cnf(cls_image__constant_0,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(c_in(X5,X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant_0) ).
cnf(cls_Diff__mono_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__mono_0) ).
cnf(cls_Diff__insert_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert_0) ).
cnf(cls_insertE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| X1 = X4
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I1_J_0) ).
cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib2_0) ).
cnf(cls_sup__inf__distrib2_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib2_0) ).
cnf(cls_max__add__distrib__left_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__add__distrib__left_0) ).
cnf(cls_add__sup__distrib__right_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__join(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__sup__distrib__right_0) ).
cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0) ).
cnf(cls_min__add__distrib__left_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__add__distrib__left_0) ).
cnf(cls_add__inf__distrib__right_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__inf__distrib__right_0) ).
cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0) ).
cnf(cls_comm__semiring__class_Odistrib_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__semiring__class_Odistrib_0) ).
cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I8_J_0) ).
cnf(cls_inf__sup__distrib2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(X1,X2,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
cnf(cls_disjoint__iff__not__equal_0,axiom,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_finite__vimage__iff_1,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Finite__Set_Ofinite(X2,X4)
| ~ c_Fun_Obij(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__vimage__iff_1) ).
cnf(cls_Int__insert__left_1,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
| hBOOL(c_in(X2,X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).
cnf(cls_Un__subset__iff_2,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
cnf(cls_Un__least_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
cnf(cls_Int__subset__iff_2,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).
cnf(cls_Int__greatest_0,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__greatest_0) ).
cnf(cls_atLeastatMost__subset__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_0) ).
cnf(cls_atLeastatMost__psubset__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_0) ).
cnf(cls_atLeastatMost__subset__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_1) ).
cnf(cls_atLeastatMost__psubset__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_1) ).
cnf(cls_Sup__binary_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__binary_0) ).
cnf(cls_Inf__binary_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__binary_0) ).
cnf(cls_Un__Diff__cancel2_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).
cnf(cls_psubset__insert__iff_2,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(c_in(X4,X1,X3))
| hBOOL(c_in(X4,X2,X3))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_2) ).
cnf(cls_Un__insert__right_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
cnf(cls_subset__singletonD_0,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
cnf(cls_Min__Un_0,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__Un_0) ).
cnf(cls_Max__Un_0,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__Un_0) ).
cnf(cls_atLeastLessThan__subset__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X4,X2,X1),c_SetInterval_Oord__class_OatLeastLessThan(X5,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__subset__iff_1) ).
cnf(cls_atLeastLessThan__subset__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1),c_SetInterval_Oord__class_OatLeastLessThan(X2,X5,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__subset__iff_0) ).
cnf(cls_card__Suc__eq_5,axiom,
( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__eq_5) ).
cnf(cls_Un__left__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
cnf(cls_Int__left__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
cnf(cls_vimage__const_0,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_0) ).
cnf(cls_psubset__insert__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X4,X2,X3))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_0) ).
cnf(cls_psubset__insert__iff_7,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_7) ).
cnf(cls_max__diff__distrib__left_0,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__diff__distrib__left_0) ).
cnf(cls_min__diff__distrib__left_0,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__diff__distrib__left_0) ).
cnf(cls_below__fold1__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_lessequals(X2,hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X4),X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_below__fold1__iff_0) ).
cnf(cls_strict__below__fold1__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_HOL_Oord__class_Oless(X2,hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X4),X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_strict__below__fold1__iff_0) ).
cnf(cls_singleton__iff_1,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
cnf(cls_doubleton__eq__iff_4,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
cnf(cls_finite__imageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(cls_psubset__insert__iff_3,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| hBOOL(c_in(X2,X3,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_3) ).
cnf(cls_mult__less__cancel__right__disj_3,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_3) ).
cnf(cls_mult__less__cancel__left__disj_3,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_3) ).
cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib1_0) ).
cnf(cls_sup__inf__distrib1_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib1_0) ).
cnf(cls_add__sup__distrib__left_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__join(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__sup__distrib__left_0) ).
cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0) ).
cnf(cls_add__inf__distrib__left_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__inf__distrib__left_0) ).
cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0) ).
cnf(cls_class__semiring_Omul__d_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__d_0) ).
cnf(cls_inf__sup__distrib1_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I23_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).
cnf(cls_atLeastatMost__psubset__iff_3,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_3) ).
cnf(cls_injD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_injD_0) ).
cnf(cls_Diff__insert__absorb_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).
cnf(cls_Int__insert__right_1,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
| hBOOL(c_in(X3,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
cnf(cls_insert__Diff__if_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| hBOOL(c_in(X1,X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).
cnf(cls_insertCI_0,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).
cnf(cls_insert__iff_2,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_ivl__disj__int_I14_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__int_I14_J_0) ).
cnf(cls_ivl__disj__int_I16_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__int_I16_J_0) ).
cnf(cls_ivl__disj__int_I15_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__int_I15_J_0) ).
cnf(cls_ivl__disj__int_I11_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__int_I11_J_0) ).
cnf(cls_le__add__right__mono_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X5,X4,X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__right__mono_0) ).
cnf(cls_vimage__const_1,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(c_in(X1,X4,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).
cnf(cls_image__constant__conv_1,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
cnf(cls_finite__Un_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_0) ).
cnf(cls_finite__Un_1,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_1) ).
cnf(cls_comm__monoid__add_Ofold1__insert_0,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X3))
| hBOOL(c_in(X2,X3,X1))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofold1__insert_0) ).
cnf(cls_fold1__insert_0,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| hBOOL(c_in(X2,X3,X1))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__insert_0) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_psubset__insert__iff_6,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_6) ).
cnf(cls_subset__insert_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(c_in(X4,X1,X3))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
cnf(cls_subset__insert__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(c_in(X4,X1,X3))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
cnf(cls_fold1__below__iff_2,axiom,
( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__below__iff_2) ).
cnf(cls_fold1__strict__below__iff_2,axiom,
( c_HOL_Oord__class_Oless(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__strict__below__iff_2) ).
cnf(cls_double__diff_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__diff_0) ).
cnf(cls_atLeastatMost__subset__iff_3,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_3) ).
cnf(cls_add__le__cancel__right_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__right_0) ).
cnf(cls_add__le__cancel__left_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__left_0) ).
cnf(cls_add__less__cancel__right_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__right_0) ).
cnf(cls_add__less__cancel__left_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__left_0) ).
cnf(cls_empty__is__image_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
cnf(cls_image__is__empty_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
cnf(cls_ab__semigroup__mult_Ofold1__insert_0,axiom,
( hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2)) = hAPP(hAPP(X1,X3),hAPP(c_Finite__Set_Ofold1(X1,X2),X4))
| hBOOL(c_in(X3,X4,X2))
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold1__insert_0) ).
cnf(cls_Un__Diff__cancel_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).
cnf(cls_fold1__antimono_0,axiom,
( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X3),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__antimono_0) ).
cnf(cls_atLeastatMost__psubset__iff_4,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_4) ).
cnf(cls_add__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__mono_0) ).
cnf(cls_add__less__le__mono_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__le__mono_0) ).
cnf(cls_add__le__less__mono_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__less__mono_0) ).
cnf(cls_add__strict__mono_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__mono_0) ).
cnf(cls_ivl__diff_0,axiom,
( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X1),tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__diff_0) ).
cnf(cls_insert__Diff1_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).
cnf(cls_image__constant__conv_0,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).
cnf(cls_sup__fun__eq_0,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).
cnf(cls_inf__fun__eq_0,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__fun__eq_0) ).
cnf(cls_Diff__partition_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = X3
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__partition_0) ).
cnf(cls_min__max_Osup__assoc_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__assoc_0) ).
cnf(cls_inf__sup__aci_I6_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_sup__assoc_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
cnf(cls_min__max_Oinf__assoc_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__assoc_0) ).
cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).
cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__assoc_0) ).
cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I21_J_0) ).
cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I17_J_0) ).
cnf(cls_inf__sup__aci_I2_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
cnf(cls_inf__assoc_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__assoc_0) ).
cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I25_J_0) ).
cnf(cls_class__semiring_Oadd__a_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Oadd__a_0) ).
cnf(cls_class__semiring_Omul__a_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__a_0) ).
cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I18_J_0) ).
cnf(cls_add__eq__inf__sup_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__eq__inf__sup_0) ).
cnf(cls_subset__insert_1,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).
cnf(cls_subset__insert__iff_2,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_subset__iff_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_set__rev__mp_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
cnf(cls_subsetD_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).
cnf(cls_set__mp_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
cnf(cls_psubsetD_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubsetD_0) ).
cnf(cls_insert__subset_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
cnf(cls_insert__ident_0,axiom,
( hBOOL(c_in(X1,X4,X3))
| hBOOL(c_in(X1,X2,X3))
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
cnf(cls_SUP__const_0,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1) = X3
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP__const_0) ).
cnf(cls_card__psubset_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X2,X3),tc_nat)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__psubset_0) ).
cnf(cls_bij__def_0,axiom,
( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_Fun_Obij(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__def_0) ).
cnf(cls_bex__empty_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
cnf(cls_add__cancel__21_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) = X5
| ~ class_OrderedGroup_Oab__group__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__cancel__21_0) ).
cnf(cls_fold1__insert__idem_0,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__insert__idem_0) ).
cnf(cls_ball__empty_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__empty_0) ).
cnf(cls_insert__subset_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
cnf(cls_min__le__iff__disj_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__le__iff__disj_0) ).
cnf(cls_min__less__iff__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__disj_0) ).
cnf(cls_le__max__iff__disj_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__max__iff__disj_0) ).
cnf(cls_less__max__iff__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__max__iff__disj_0) ).
cnf(cls_Int__lower1_0,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
cnf(cls_Int__lower2_0,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_fold1__belowI_0,axiom,
( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X2),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__belowI_0) ).
cnf(cls_atLeastatMost__subset__iff_2,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_2) ).
cnf(cls_add__left__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__left__mono_0) ).
cnf(cls_add__le__cancel__left_1,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__left_1) ).
cnf(cls_add__right__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__right__mono_0) ).
cnf(cls_add__le__cancel__right_1,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__right_1) ).
cnf(cls_add__less__cancel__left_1,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__left_1) ).
cnf(cls_add__strict__left__mono_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__left__mono_0) ).
cnf(cls_add__less__cancel__right_1,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__right_1) ).
cnf(cls_add__strict__right__mono_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__right__mono_0) ).
cnf(cls_Diff__triv_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__triv_0) ).
cnf(cls_finite__Un_2,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_2) ).
cnf(cls_finite__UnI_0,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UnI_0) ).
cnf(cls_card__insert__le_0,axiom,
( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__le_0) ).
cnf(cls_emptyE_0,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
cnf(cls_empty__iff_0,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
cnf(cls_ex__in__conv_0,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
cnf(cls_min__max_Ole__sup__iff_2,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_2) ).
cnf(cls_min__max_Osup__least_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__least_0) ).
cnf(cls_min__max_Ole__supI_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supI_0) ).
cnf(cls_le__supI_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).
cnf(cls_sup__least_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).
cnf(cls_le__sup__iff_2,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
cnf(cls_max__less__iff__conj_2,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__less__iff__conj_2) ).
cnf(cls_min__max_Oinf__greatest_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__greatest_0) ).
cnf(cls_min__max_Ole__inf__iff_2,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_2) ).
cnf(cls_min__max_Ole__infI_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infI_0) ).
cnf(cls_le__infI_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI_0) ).
cnf(cls_le__inf__iff_2,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).
cnf(cls_inf__greatest_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__greatest_0) ).
cnf(cls_min__less__iff__conj_2,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__conj_2) ).
cnf(cls_singleton__inject_0,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom,
( hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4) = hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__ac_I1_J_0) ).
cnf(cls_card__insert__if_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ hBOOL(c_in(X1,X2,X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_0) ).
cnf(cls_Un__empty_2,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).
cnf(cls_vimage__UNIV_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__UNIV_0) ).
cnf(cls_vimage__empty_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__empty_0) ).
cnf(cls_image__empty_0,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
cnf(cls_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
cnf(cls_insertCI_1,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
cnf(cls_insert__iff_1,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
cnf(cls_Diff__disjoint_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_finite__Int_0,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Int_0) ).
cnf(cls_finite__Int_1,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Int_1) ).
cnf(cls_subset__trans_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_psubset__subset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__subset__trans_0) ).
cnf(cls_subset__psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__psubset__trans_0) ).
cnf(cls_psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__trans_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_1) ).
cnf(cls_le__eqI_0,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_less__eqI_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_1) ).
cnf(cls_less__eqI_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_0) ).
cnf(cls_min__max_Osup__left__commute_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__left__commute_0) ).
cnf(cls_inf__sup__aci_I7_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
cnf(cls_sup__left__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
cnf(cls_min__max_Oinf__left__commute_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__left__commute_0) ).
cnf(cls_add__cancel__21_1,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__cancel__21_1) ).
cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__left__commute_0) ).
cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I22_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I19_J_0) ).
cnf(cls_inf__sup__aci_I3_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
cnf(cls_inf__left__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).
cnf(cls_card__seteq_0,axiom,
( X1 = X2
| ~ c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__seteq_0) ).
cnf(cls_Max__mono_0,axiom,
( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3),X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__mono_0) ).
cnf(cls_Min__antimono_0,axiom,
( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__antimono_0) ).
cnf(cls_le__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
cnf(cls_le__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
cnf(cls_le__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
cnf(cls_le__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
cnf(cls_min__max_Ole__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_0) ).
cnf(cls_min__max_Ole__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supE_0) ).
cnf(cls_min__max_Ole__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_1) ).
cnf(cls_min__max_Ole__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supE_1) ).
cnf(cls_max__less__iff__conj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__less__iff__conj_0) ).
cnf(cls_max__less__iff__conj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__less__iff__conj_1) ).
cnf(cls_le__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_0) ).
cnf(cls_le__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_0) ).
cnf(cls_le__inf__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).
cnf(cls_le__infE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_1) ).
cnf(cls_min__max_Ole__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_0) ).
cnf(cls_min__max_Ole__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infE_0) ).
cnf(cls_min__max_Ole__inf__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_1) ).
cnf(cls_min__max_Ole__infE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infE_1) ).
cnf(cls_min__less__iff__conj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__conj_0) ).
cnf(cls_min__less__iff__conj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__conj_1) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
cnf(cls_subset__insertI2_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_finite__Diff2_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff2_0) ).
cnf(cls_inj__on__empty_0,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).
cnf(cls_Min__le_0,axiom,
( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(c_in(X3,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__le_0) ).
cnf(cls_Max__ge_0,axiom,
( c_lessequals(X2,hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(c_in(X2,X3,X1))
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__ge_0) ).
cnf(cls_Un__empty_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
cnf(cls_Un__empty_1,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
cnf(cls_less__fun__def_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_2) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_Un__commute_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_Int__commute_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_card__insert__if_1,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
| hBOOL(c_in(X1,X2,X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_1) ).
cnf(cls_Min__insert_0,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__insert_0) ).
cnf(cls_Max__insert_0,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__insert_0) ).
cnf(cls_Un__UNIV__left_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
cnf(cls_Int__empty__left_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
cnf(cls_diff__add__cancel_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).
cnf(cls_fun__diff__def_0,axiom,
( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
| ~ class_HOL_Ominus(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__diff__def_0) ).
cnf(cls_Un__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
cnf(cls_Un__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_Int__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).
cnf(cls_Int__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
cnf(cls_Inf__lower_0,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X3,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__lower_0) ).
cnf(cls_Sup__upper_0,axiom,
( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X2,X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__upper_0) ).
cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom,
( hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ononempty__iff_2) ).
cnf(cls_less__fun__def_1,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_1) ).
cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom,
( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__left__commute_0) ).
cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__UNIV__imp__eq__UNIV_0) ).
cnf(cls_fold1__singleton_0,axiom,
hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__singleton_0) ).
cnf(cls_min__le__iff__disj_1,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__le__iff__disj_1) ).
cnf(cls_min__max_Ole__infI1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infI1_0) ).
cnf(cls_min__le__iff__disj_2,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__le__iff__disj_2) ).
cnf(cls_min__max_Ole__infI2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infI2_0) ).
cnf(cls_le__infI1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI1_0) ).
cnf(cls_le__infI2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI2_0) ).
cnf(cls_min__less__iff__disj_1,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__disj_1) ).
cnf(cls_min__max_Oless__infI1_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__infI1_0) ).
cnf(cls_min__less__iff__disj_2,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__disj_2) ).
cnf(cls_min__max_Oless__infI2_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__infI2_0) ).
cnf(cls_less__infI1_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI1_0) ).
cnf(cls_less__infI2_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI2_0) ).
cnf(cls_le__max__iff__disj_1,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__max__iff__disj_1) ).
cnf(cls_min__max_Ole__supI1_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supI1_0) ).
cnf(cls_le__max__iff__disj_2,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__max__iff__disj_2) ).
cnf(cls_min__max_Ole__supI2_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supI2_0) ).
cnf(cls_le__supI1_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_le__supI2_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_less__max__iff__disj_1,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__max__iff__disj_1) ).
cnf(cls_min__max_Oless__supI1_0,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__supI1_0) ).
cnf(cls_less__max__iff__disj_2,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__max__iff__disj_2) ).
cnf(cls_min__max_Oless__supI2_0,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__supI2_0) ).
cnf(cls_less__supI1_0,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI1_0) ).
cnf(cls_less__supI2_0,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI2_0) ).
cnf(cls_card__mono_0,axiom,
( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__mono_0) ).
cnf(cls_psubset__card__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__card__mono_0) ).
cnf(cls_Un__empty__left_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_Int__UNIV__left_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_equalityI_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_Min__in_0,axiom,
( hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),X2,X1))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__in_0) ).
cnf(cls_Max__in_0,axiom,
( hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2),X2,X1))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__in_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_conjecture_1,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
( hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
cnf(cls_Min__singleton_0,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__singleton_0) ).
cnf(cls_Max__singleton_0,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__singleton_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_xt1_I8_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).
cnf(cls_xt1_I7_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(cls_xt1_I10_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
cnf(cls_order__less__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).
cnf(cls_order__le__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
cnf(cls_order__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
cnf(cls_Sup__singleton_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__singleton_0) ).
cnf(cls_Inf__singleton_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__singleton_0) ).
cnf(cls_subset__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
cnf(cls_less__trans__Suc_0,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__trans__Suc_0) ).
cnf(cls_contents__eq_0,axiom,
c_Set_Ocontents(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_contents__eq_0) ).
cnf(cls_Nitpick_OThe__psimp_0,axiom,
c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_OThe__psimp_0) ).
cnf(cls_Un__UNIV__right_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_Int__empty__right_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).
cnf(cls_greaterThanAtMost__empty__iff2_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff2_0) ).
cnf(cls_atLeastatMost__empty__iff2_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff2_0) ).
cnf(cls_atLeastLessThan__empty__iff2_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff2_0) ).
cnf(cls_greaterThanAtMost__empty__iff_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff_0) ).
cnf(cls_atLeastatMost__empty__iff_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff_0) ).
cnf(cls_atLeastLessThan__empty__iff_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff_0) ).
cnf(cls_le__trans_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__trans_0) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_less__fun__def_0,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_0) ).
cnf(cls_UNIV__I_0,axiom,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_min__max_Osup__left__idem_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__left__idem_0) ).
cnf(cls_inf__sup__aci_I8_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_sup__left__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
cnf(cls_min__max_Oinf__left__idem_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__left__idem_0) ).
cnf(cls_mult__left__idem_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__left__idem_0) ).
cnf(cls_inf__sup__aci_I4_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
cnf(cls_inf__left__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).
cnf(cls_finite__Diff2_1,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff2_1) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_Sup__insert_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__insert_0) ).
cnf(cls_Inf__insert_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__insert_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_finite__insert_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_0) ).
cnf(cls_not__psubset__empty_0,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).
cnf(cls_less__le__not__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).
cnf(cls_subset__iff__psubset__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff__psubset__eq_0) ).
cnf(cls_psubset__eq_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_2) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_psubset__eq_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_0) ).
cnf(cls_Un__empty__right_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_Int__UNIV__right_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__right_0) ).
cnf(cls_assms_I1_J_0,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
cnf(cls_nat__less__cases_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__cases_0) ).
cnf(cls_finite__Diff_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_order__antisym_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_subset__empty_1,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).
cnf(cls_class__ringb_Oadd__cancel_0,axiom,
( X3 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Oadd__cancel_0) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_eq__eqI_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_linorder__antisym__conv2_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(cls_linorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(cls_not__less__iff__gr__or__eq_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
cnf(cls_xt1_I9_J_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(cls_order__less__asym_H_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
cnf(cls_order__less__asym_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
cnf(cls_le__less__Suc__eq_0,axiom,
( X1 = X2
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__less__Suc__eq_0) ).
cnf(cls_not__less__eq__eq_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq__eq_1) ).
cnf(cls_not__less__eq_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq_1) ).
cnf(cls_greaterThanAtMost__empty_0,axiom,
( c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty_0) ).
cnf(cls_atLeastatMost__empty_0,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty_0) ).
cnf(cls_atLeastLessThan__empty_0,axiom,
( c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__empty_0) ).
cnf(cls_add__right__cancel_0,axiom,
( X2 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__right__cancel_0) ).
cnf(cls_add__left__cancel_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__left__cancel_0) ).
cnf(cls_add__imp__eq_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__imp__eq_0) ).
cnf(cls_le__antisym_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__antisym_0) ).
cnf(cls_atLeastAtMost__singleton_0,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X2,X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastAtMost__singleton_0) ).
cnf(cls_add__diff__cancel_0,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).
cnf(cls_min__max_Oinf__le1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__le1_0) ).
cnf(cls_min__max_Oinf__le2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__le2_0) ).
cnf(cls_inf__sup__ord_I1_J_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
cnf(cls_inf__le1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le1_0) ).
cnf(cls_inf__sup__ord_I2_J_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
cnf(cls_inf__le2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le2_0) ).
cnf(cls_le__maxI1_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__maxI1_0) ).
cnf(cls_le__maxI2_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__maxI2_0) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_sup__ge1_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_inf__sup__ord_I4_J_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_sup__ge2_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_min__max_Osup__inf__absorb_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__inf__absorb_0) ).
cnf(cls_sup__inf__absorb_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__absorb_0) ).
cnf(cls_inf__sup__absorb_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
cnf(cls_fold1__def_0,axiom,
hAPP(c_Finite__Set_Ofold1(X1,X2),X3) = c_The(c_Finite__Set_Ofold1Set(X1,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__def_0) ).
cnf(cls_finite__subset_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset_0) ).
cnf(cls_rev__finite__subset_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__finite__subset_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_Suc__le__mono_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__le__mono_0) ).
cnf(cls_Suc__less__eq_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__less__eq_0) ).
cnf(cls_empty__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Diff_0) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).
cnf(cls_bot__empty__eq_0,axiom,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
cnf(cls_le__SucE_0,axiom,
( X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SucE_0) ).
cnf(cls_linorder__antisym__conv2_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).
cnf(cls_linorder__antisym__conv1_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).
cnf(cls_order__neq__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).
cnf(cls_order__le__neq__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).
cnf(cls_order__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_2) ).
cnf(cls_order__le__less_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_0) ).
cnf(cls_xt1_I12_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).
cnf(cls_xt1_I11_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).
cnf(cls_Suc__le__mono_1,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__le__mono_1) ).
cnf(cls_Suc__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__mono_0) ).
cnf(cls_less__Suc__eq__0__disj_3,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq__0__disj_3) ).
cnf(cls_less__SucE_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__SucE_0) ).
cnf(cls_not__less__less__Suc__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__less__Suc__eq_0) ).
cnf(cls_less__antisym_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__antisym_0) ).
cnf(cls_Suc__lessI_0,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_Suc(X1) = X2
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__lessI_0) ).
cnf(cls_order__le__less_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_1) ).
cnf(cls_order__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
cnf(cls_min__max_Osup__absorb1_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__absorb1_0) ).
cnf(cls_min__max_Ole__iff__sup_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_0) ).
cnf(cls_sup__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
cnf(cls_le__iff__sup_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_min__max_Ole__iff__inf_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_0) ).
cnf(cls_min__max_Oinf__absorb2_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__absorb2_0) ).
cnf(cls_le__iff__inf_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).
cnf(cls_inf__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_Suc__leD_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__leD_0) ).
cnf(cls_Suc__le__eq_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__le__eq_0) ).
cnf(cls_less__eq__Suc__le_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__Suc__le_1) ).
cnf(cls_Suc__lessD_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__lessD_0) ).
cnf(cls_less__Suc__eq__le_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq__le_0) ).
cnf(cls_min__max_Ole__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_1) ).
cnf(cls_le__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
cnf(cls_min__max_Ole__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_1) ).
cnf(cls_le__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
cnf(cls_Un__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_Int__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_finite__insert_1,axiom,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_1) ).
cnf(cls_greaterThanAtMost__empty__iff2_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff2_1) ).
cnf(cls_atLeastatMost__empty__iff2_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff2_1) ).
cnf(cls_atLeastLessThan__empty__iff2_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff2_1) ).
cnf(cls_greaterThanAtMost__empty__iff_1,axiom,
( c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff_1) ).
cnf(cls_atLeastatMost__empty__iff_1,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff_1) ).
cnf(cls_atLeastLessThan__empty__iff_1,axiom,
( c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff_1) ).
cnf(cls_Suc__leI_0,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__leI_0) ).
cnf(cls_less__eq__Suc__le_0,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__Suc__le_0) ).
cnf(cls_le__SucI_0,axiom,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SucI_0) ).
cnf(cls_le__less__Suc__eq_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
| ~ c_lessequals(X1,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__less__Suc__eq_1) ).
cnf(cls_less__Suc__eq__le_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq__le_1) ).
cnf(cls_less__SucI_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__SucI_0) ).
cnf(cls_le__neq__implies__less_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__neq__implies__less_0) ).
cnf(cls_le__eq__less__or__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eq__less__or__eq_0) ).
cnf(cls_nat__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_2) ).
cnf(cls_nat__less__le_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_0) ).
cnf(cls_termination__basic__simps_I5_J_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_termination__basic__simps_I5_J_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_0) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_psubset__eq_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_1) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_linorder__neqE__ordered__idom_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(cls_linorder__antisym__conv3_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).
cnf(cls_linorder__less__linear_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
cnf(cls_linorder__neqE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).
cnf(cls_not__less__iff__gr__or__eq_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_linorder__antisym__conv1_1,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).
cnf(cls_linorder__not__le_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
cnf(cls_not__leE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).
cnf(cls_linorder__not__less_0,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).
cnf(cls_not__less__eq__eq_0,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).
cnf(cls_not__less__less__Suc__eq_1,axiom,
( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__less__Suc__eq_1) ).
cnf(cls_not__less__eq_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq_0) ).
cnf(cls_min__max_Osup__commute_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__commute_0) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
cnf(cls_sup__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
cnf(cls_min__max_Oinf__commute_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__commute_0) ).
cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).
cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_class__semiring_Oadd__c_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).
cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).
cnf(cls_class__semiring_Omul__c_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
cnf(cls_inf__sup__aci_I1_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
cnf(cls_inf__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__commute_0) ).
cnf(cls_linorder__neqE__nat_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__nat_0) ).
cnf(cls_nat__neq__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__neq__iff_0) ).
cnf(cls_nat__le__linear_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom,
( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X3),X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__commute_0) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_inf__eq__top__eq1_0,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq1_0) ).
cnf(cls_sup__eq__bot__eq1_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
cnf(cls_inf__eq__top__eq2_0,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq2_0) ).
cnf(cls_sup__eq__bot__eq2_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
cnf(cls_linorder__neq__iff_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
cnf(cls_order__less__le_1,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).
cnf(cls_order__less__irrefl_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
cnf(cls_Suc__n__not__le__n_0,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
cnf(cls_less__not__refl_0,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
cnf(cls_nat__less__le_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_1) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_Sup__UNIV_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__UNIV_0) ).
cnf(cls_Sup__empty_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__empty_0) ).
cnf(cls_Inf__UNIV_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__UNIV_0) ).
cnf(cls_Inf__empty_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__empty_0) ).
cnf(cls_sup__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(cls_inf__bot__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
cnf(cls_top__fun__eq_0,axiom,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).
cnf(cls_bot__fun__eq_0,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
cnf(cls_finite__UNIV_0,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UNIV_0) ).
cnf(cls_sup__bot__left_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
cnf(cls_inf__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(cls_sup__top__right_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
cnf(cls_inf__bot__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).
cnf(cls_bot__least_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
cnf(cls_top__greatest_0,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__greatest_0) ).
cnf(cls_sup__bot__right_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
cnf(cls_inf__top__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__right_0) ).
cnf(cls_finite_OemptyI_0,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).
cnf(cls_le__Suc__eq_2,axiom,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__Suc__eq_2) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_min__max_Osup__idem_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X2) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__idem_0) ).
cnf(cls_sup__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
cnf(cls_min__max_Oinf__idem_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__idem_0) ).
cnf(cls_mult__idem_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2) = X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__idem_0) ).
cnf(cls_inf__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__idem_0) ).
cnf(cls_less__Suc__eq_2,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq_2) ).
cnf(cls_lessI_0,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessI_0) ).
cnf(cls_eq__imp__le_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).
cnf(cls_le__refl_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__refl_0) ).
cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(clsarity_fun__Orderings_Obot,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
cnf(clsarity_fun__HOL_Ominus,axiom,
( class_HOL_Ominus(tc_fun(X1,X2))
| ~ class_HOL_Ominus(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Ominus) ).
cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
| ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(cls_linorder__class_OMin__def__raw_0,axiom,
( c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__class_OMin__def__raw_0) ).
cnf(cls_Max__def__raw_0,axiom,
( c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__def__raw_0) ).
cnf(cls_sup__max_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Orderings_Oord__class_Omax(X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__max_0) ).
cnf(cls_inf__min_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Orderings_Oord__class_Omin(X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__min_0) ).
cnf(cls_finite_0,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_0) ).
cnf(cls_Suc__inject_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__inject_0) ).
cnf(cls_nat_Oinject_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat_Oinject_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Suc__n__not__n_0,axiom,
c_Suc(X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
cnf(cls_n__not__Suc__n_0,axiom,
X1 != c_Suc(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_nat__HOL_Ominus,axiom,
class_HOL_Ominus(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Ominus) ).
cnf(clsarity_bool__HOL_Ominus,axiom,
class_HOL_Ominus(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Ominus) ).
cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).
cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).
cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring) ).
cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__mult) ).
cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).
cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).
cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).
cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(i_0_913,axiom,
c_Collect(c_fequal(X1,X2),X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_singleton__conv2_0 ).
cnf(i_0_914,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(i_0_915,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X6,X7,X8,X1,X9,X10,X11,X5) ),
cls_complete__lattice_Oinf__Inf__fold__inf_0 ).
cnf(i_0_916,axiom,
c_Finite__Set_Ofold(X1,X2,X3,X4,X5) = c_The(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),X5),
cls_fold__def_0 ).
cnf(i_0_917,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X7,X8,X9,X1,X10,X11,X5) ),
cls_complete__lattice_Osup__Sup__fold__sup_0 ).
cnf(i_0_918,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X3,X9,X10,X4,X5) ),
cls_complete__lattice_OInf__fold__inf_0 ).
cnf(i_0_919,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X3,X4,X10,X5) ),
cls_complete__lattice_OSup__fold__sup_0 ).
cnf(i_0_920,axiom,
( c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X4,X1,X1))
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
cls_fold__sup__insert_0 ).
cnf(i_0_921,axiom,
( c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X4,X1,X1))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
cls_fold__inf__insert_0 ).
cnf(i_0_922,axiom,
( c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X4,X3,X1))
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_fold__inf__le__inf_0 ).
cnf(i_0_923,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X3,X4,X1,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Finite__Set_Ofinite(X4,X1) ),
cls_sup__le__fold__sup_0 ).
cnf(i_0_924,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
| hBOOL(c_in(X2,X3,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_comm__monoid__add_Ofold1__eq__fold_0 ).
cnf(i_0_925,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(X1),X2,X3,X1,X1)
| hBOOL(c_in(X2,X3,X1))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_fold1__eq__fold_0 ).
cnf(i_0_926,axiom,
( hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2)) = c_Finite__Set_Ofold(X1,X3,X4,X2,X2)
| hBOOL(c_in(X3,X4,X2))
| ~ c_Finite__Set_Ofinite(X4,X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
cls_ab__semigroup__mult_Ofold1__eq__fold_0 ).
cnf(i_0_927,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(X1),X2,X3,X1,X1)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_fold1__eq__fold__idem_0 ).
cnf(i_0_928,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,X1)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X3,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_sup__Sup__fold__sup_0 ).
cnf(i_0_929,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_inf__Inf__fold__inf_0 ).
cnf(i_0_930,axiom,
c_Finite__Set_Ofold(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X2,
cls_fold__empty_0 ).
cnf(i_0_931,axiom,
( c_Complete__Lattice_OSup__class_OSup(X2,X1) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1),X2,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Sup__fold__sup_0 ).
cnf(i_0_932,axiom,
( c_Complete__Lattice_OInf__class_OInf(X2,X1) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1),X2,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Inf__fold__inf_0 ).
cnf(i_0_933,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),c_Collect(X4,X3)),X3)) ),
cls_Int__Collect_0 ).
cnf(i_0_934,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),c_Collect(X1,X3)),X3)) ),
cls_Int__Collect_1 ).
cnf(i_0_935,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Collect(X4,X2)),X2))
| ~ hBOOL(hAPP(X4,X1))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_Int__Collect_2 ).
cnf(i_0_936,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_fequal(X1,X3),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0 ).
cnf(i_0_937,plain,
c_fequal(X1,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rw,[status(thm)],[i_0_913,c_0_914]) ).
cnf(i_0_938,axiom,
hBOOL(hAPP(c_fequal(X1,X2),X1)),
cls_ATP__Linkup_Oequal__imp__fequal_0 ).
cnf(i_0_939,axiom,
c_The(c_fequal(X1,X2),X2) = X1,
cls_the__sym__eq__trivial_0 ).
cnf(i_0_940,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Collect(X1,X3),X3)) ),
cls_CollectD_0 ).
cnf(i_0_941,axiom,
( hBOOL(c_in(X1,c_Collect(X2,X3),X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_CollectI_0 ).
cnf(i_0_942,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Collect(X2,X1)
| ~ hBOOL(hAPP(X2,X3)) ),
cls_empty__Collect__eq_0 ).
cnf(i_0_943,axiom,
( c_Collect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
cls_Collect__empty__eq_0 ).
cnf(i_0_944,plain,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_The(c_Finite__Set_Ofold__graph(X1,X2,X4,X5,X5),X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X6,X7,X8,X1,X9,X10,X11,X5) ),
inference(rw,[status(thm)],[i_0_915,c_0_916]),
[final] ).
cnf(i_0_945,plain,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_The(c_Finite__Set_Ofold__graph(X1,X2,X4,X5,X5),X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X7,X8,X9,X1,X10,X11,X5) ),
inference(rw,[status(thm)],[i_0_917,c_0_916]),
[final] ).
cnf(i_0_946,plain,
( hAPP(X1,X2) = c_The(c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X5),X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X3,X9,X10,X4,X5) ),
inference(rw,[status(thm)],[i_0_918,c_0_916]),
[final] ).
cnf(i_0_947,plain,
( hAPP(X1,X2) = c_The(c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X5),X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X3,X4,X10,X5) ),
inference(rw,[status(thm)],[i_0_919,c_0_916]),
[final] ).
cnf(i_0_948,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
cls_complete__lattice_OInf__binary_0,
[final] ).
cnf(i_0_949,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
cls_complete__lattice_OSup__binary_0,
[final] ).
cnf(i_0_950,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
cls_complete__lattice_OInf__lower_0,
[final] ).
cnf(i_0_951,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
cls_complete__lattice_OSup__upper_0,
[final] ).
cnf(i_0_952,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
cls_complete__lattice_OInf__singleton_0,
[final] ).
cnf(i_0_953,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
cls_complete__lattice_OSup__singleton_0,
[final] ).
cnf(i_0_954,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
cls_complete__lattice_OInf__insert_0,
[final] ).
cnf(i_0_955,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
cls_complete__lattice_OSup__insert_0,
[final] ).
cnf(i_0_956,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2) ),
cls_complete__lattice_OInf__UNIV_0,
[final] ).
cnf(i_0_957,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2) ),
cls_complete__lattice_OSup__UNIV_0,
[final] ).
cnf(i_0_958,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
cls_complete__lattice_OInf__empty_0,
[final] ).
cnf(i_0_959,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
cls_complete__lattice_OSup__empty_0,
[final] ).
cnf(i_0_960,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1),X1,X1),X5))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1),X5)) ),
cls_comm__monoid__add_Ofold__graph__permute__diff_0,
[final] ).
cnf(i_0_961,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1),X1,X1),X5))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X3,X4,X1,X1),X5)) ),
cls_fold__graph__permute__diff_0,
[final] ).
cnf(i_0_962,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5),X5,X5),X6))
| hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X5),X6))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
cls_ab__semigroup__mult_Ofold__graph__permute__diff_0,
[final] ).
cnf(i_0_963,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),hAPP(hAPP(X1,X6),X7)))
| ~ hBOOL(c_in(X6,X3,X4))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X7)) ),
cls_Diff1__fold__graph_0,
[final] ).
cnf(i_0_964,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X5)))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1),X5)) ),
cls_comm__monoid__add_Ofold__graph__insert__swap_0,
[final] ).
cnf(i_0_965,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5)))
| hBOOL(c_in(X3,X4,X1))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X3,X4,X1,X1),X5)) ),
cls_fold__graph__insert__swap_0,
[final] ).
cnf(i_0_966,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X5),hAPP(hAPP(X1,X2),X6)))
| hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X5),X6))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
cls_ab__semigroup__mult_Ofold__graph__insert__swap_0,
[final] ).
cnf(i_0_967,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6),hAPP(hAPP(X1,X3),X7)))
| hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X4,X5,X6),X7)) ),
cls_fold__graph_OinsertI_0,
[final] ).
cnf(i_0_968,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)),
cls_Un__Int__crazy_0,
[final] ).
cnf(i_0_969,axiom,
( hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X4),X4),X5))
| hBOOL(c_in(X2,X3,X4))
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X4),X5)) ),
cls_fold1Set_Ointros_0,
[final] ).
cnf(i_0_970,axiom,
( c_Set_Oimage(X1,X2,X4,X5) = c_Set_Oimage(X3,X2,X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X3,X4,X5)) != hAPP(X3,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X3,X4,X5)) ),
cls_image__cong_1,
[final] ).
cnf(i_0_971,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X1)) ),
cls_empty__fold__graphE_0,
[final] ).
cnf(i_0_972,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(X3,X4,X1,X2,X5),X6)) ),
cls_fold__graph__imp__finite_0,
[final] ).
cnf(i_0_973,plain,
( c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X4,X1,X1),X1))
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_920,c_0_916]),c_0_916]),
[final] ).
cnf(i_0_974,plain,
( c_The(c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),c_The(c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X4,X1,X1),X1))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_921,c_0_916]),c_0_916]),
[final] ).
cnf(i_0_975,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X2) ),
cls_assms_I3_J_1,
[final] ).
cnf(i_0_976,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
cls_fun__upd__twist_0,
[final] ).
cnf(i_0_977,axiom,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
| ~ hBOOL(c_in(X3,c_Set_Oimage(X2,X1,X4,X5),X5)) ),
cls_image__iff_0,
[final] ).
cnf(i_0_978,axiom,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X2,X3,X4,X5),X1,X4))
| ~ hBOOL(c_in(X2,c_Set_Oimage(X3,X1,X4,X5),X5)) ),
cls_imageE_1,
[final] ).
cnf(i_0_979,axiom,
( ~ hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
cls_inj__on__insert_1,
[final] ).
cnf(i_0_980,axiom,
( c_Set_Oimage(X1,X2,X3,X4) = c_Set_Oimage(X5,X2,X3,X4)
| hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X5,X3,X4),X2,X3)) ),
cls_image__cong_0,
[final] ).
cnf(i_0_981,axiom,
( c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),X3),X4),X5,X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,X4,X5,X1)
| ~ c_Fun_Oinj__on(X2,X3,X5,X1) ),
cls_inj__on__Un_3,
[final] ).
cnf(i_0_982,plain,
( c_lessequals(c_The(c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ hBOOL(c_in(X4,X3,X1)) ),
inference(rw,[status(thm)],[i_0_922,c_0_916]),
[final] ).
cnf(i_0_983,plain,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(X1),X3,X4,X1,X1),X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1)
| ~ hBOOL(c_in(X2,X4,X1)) ),
inference(rw,[status(thm)],[i_0_923,c_0_916]),
[final] ).
cnf(i_0_984,axiom,
hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X2)),
cls_fold__graph_OemptyI_0,
[final] ).
cnf(i_0_985,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4))
| ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
cls_inv__into__injective_0,
[final] ).
cnf(i_0_986,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1)),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5),X3,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)),c_Finite__Set_Osetsum(X2,X5,X3,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X5,X3)
| ~ c_Finite__Set_Ofinite(X4,X3) ),
cls_setsum__Un__Int_0,
[final] ).
cnf(i_0_987,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
cls_fun__upd__upd_0,
[final] ).
cnf(i_0_988,axiom,
( c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)),c_Finite__Set_Osetsum(X2,X5,X3,X1)),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5),X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_Finite__Set_Ofinite(X5,X3)
| ~ c_Finite__Set_Ofinite(X4,X3) ),
cls_setsum__Un_0,
[final] ).
cnf(i_0_989,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4),X6,X1) ),
cls_le__add__iff1_1,
[final] ).
cnf(i_0_990,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4),X6,X1) ),
cls_less__add__iff1_1,
[final] ).
cnf(i_0_991,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6),X1) ),
cls_le__add__iff2_1,
[final] ).
cnf(i_0_992,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6),X1) ),
cls_less__add__iff2_1,
[final] ).
cnf(i_0_993,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ hBOOL(c_in(X2,X6,X4)) ),
cls_fun__upd__image_0,
[final] ).
cnf(i_0_994,axiom,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
cls_image__Int__subset_0,
[final] ).
cnf(i_0_995,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
cls_inj__on__insert_2,
[final] ).
cnf(i_0_996,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(X3,X2,X1,X4,X5))
| ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
cls_image__iff_1,
[final] ).
cnf(i_0_997,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__XimageE__1__1(X3,X1,X2,X4,X5))
| ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
cls_imageE_0,
[final] ).
cnf(i_0_998,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| hBOOL(c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__fun__updI_0,
[final] ).
cnf(i_0_999,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6),X1) ),
cls_le__add__iff1_0,
[final] ).
cnf(i_0_1000,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6),X1) ),
cls_less__add__iff1_0,
[final] ).
cnf(i_0_1001,axiom,
( c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X3,X4,X1)),X5)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)),X6),X1) ),
cls_le__add__iff2_0,
[final] ).
cnf(i_0_1002,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X3,X4,X1)),X5)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)),X6),X1) ),
cls_less__add__iff2_0,
[final] ).
cnf(i_0_1003,axiom,
( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ hBOOL(c_in(X4,X1,X3))
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_card__Diff2__less_0,
[final] ).
cnf(i_0_1004,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
cls_conjecture_3,
[final] ).
cnf(i_0_1005,axiom,
( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
| ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
cls_inv__into__into_0,
[final] ).
cnf(i_0_1006,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),X3),X4),X5,X1) ),
cls_inj__on__Un_2,
[final] ).
cnf(i_0_1007,axiom,
( hAPP(X1,X2) = X3
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)) ),
cls_vimage__singleton__eq_0,
[final] ).
cnf(i_0_1008,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| hBOOL(c_in(X2,X6,X4)) ),
cls_fun__upd__image_1,
[final] ).
cnf(i_0_1009,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
cls_image__diff__subset_0,
[final] ).
cnf(i_0_1010,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4)),c_Set_Ovimage(X1,X3,X5,X4)),
cls_vimage__insert_0,
[final] ).
cnf(i_0_1011,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
cls_inj__on__image__Int_0,
[final] ).
cnf(i_0_1012,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
cls_f__inv__into__f_0,
[final] ).
cnf(i_0_1013,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X4,X2,X1)),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_eq__add__iff2_1,
[final] ).
cnf(i_0_1014,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4))
| ~ class_Ring__and__Field_Oring(X1) ),
cls_eq__add__iff1_1,
[final] ).
cnf(i_0_1015,plain,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_The(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1),X1)
| hBOOL(c_in(X2,X3,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
inference(rw,[status(thm)],[i_0_924,c_0_916]),
[final] ).
cnf(i_0_1016,plain,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_The(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,X3,X1,X1),X1)
| hBOOL(c_in(X2,X3,X1))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
inference(rw,[status(thm)],[i_0_925,c_0_916]),
[final] ).
cnf(i_0_1017,plain,
( hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2)) = c_The(c_Finite__Set_Ofold__graph(X1,X3,X4,X2,X2),X2)
| hBOOL(c_in(X3,X4,X2))
| ~ c_Finite__Set_Ofinite(X4,X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
inference(rw,[status(thm)],[i_0_926,c_0_916]),
[final] ).
cnf(i_0_1018,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X5,X3,X4,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X5,X3,X4,X2)
| ~ c_lessequals(c_Set_Oimage(X6,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
cls_card__bij__eq_0,
[final] ).
cnf(i_0_1019,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
cls_image__Int_0,
[final] ).
cnf(i_0_1020,plain,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = c_The(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,X3,X1,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
inference(rw,[status(thm)],[i_0_927,c_0_916]),
[final] ).
cnf(i_0_1021,plain,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,X1)) = c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X3,X1,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
inference(rw,[status(thm)],[i_0_928,c_0_916]),
[final] ).
cnf(i_0_1022,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1)) = c_The(c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
inference(rw,[status(thm)],[i_0_929,c_0_916]),
[final] ).
cnf(i_0_1023,plain,
c_The(c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4) = X2,
inference(rw,[status(thm)],[i_0_930,c_0_916]),
[final] ).
cnf(i_0_1024,plain,
( c_Complete__Lattice_OSup__class_OSup(X2,X1) = c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1),X2,X1,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
inference(rw,[status(thm)],[i_0_931,c_0_916]),
[final] ).
cnf(i_0_1025,plain,
( c_Complete__Lattice_OInf__class_OInf(X2,X1) = c_The(c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1),X2,X1,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
inference(rw,[status(thm)],[i_0_932,c_0_916]),
[final] ).
cnf(i_0_1026,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__other_0,
[final] ).
cnf(i_0_1027,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__apply_1,
[final] ).
cnf(i_0_1028,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__apply_0,
[final] ).
cnf(i_0_1029,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__same_0,
[final] ).
cnf(i_0_1030,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__mem__iff_0,
[final] ).
cnf(i_0_1031,axiom,
( c_Finite__Set_Osetsum(X5,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X5,X3,X2,X1)),c_Finite__Set_Osetsum(X5,X4,X2,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_setsum__Un__disjoint_0,
[final] ).
cnf(i_0_1032,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,X1,tc_fun(X5,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X1,tc_fun(X5,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool))),
cls_UN__Un_0,
[final] ).
cnf(i_0_1033,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__subset__iff_0,
[final] ).
cnf(i_0_1034,axiom,
( c_Finite__Set_Osetsum(X2,X3,X4,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X5)),c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ hBOOL(c_in(X5,X3,X4))
| ~ c_Finite__Set_Ofinite(X3,X4) ),
cls_setsum__diff1_H_0,
[final] ).
cnf(i_0_1035,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
cls_vimage__Un_0,
[final] ).
cnf(i_0_1036,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
cls_vimage__Int_0,
[final] ).
cnf(i_0_1037,axiom,
c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),
cls_image__Un_0,
[final] ).
cnf(i_0_1038,axiom,
hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4)),
cls_vimage__singleton__eq_1,
[final] ).
cnf(i_0_1039,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__image__set__diff_0,
[final] ).
cnf(i_0_1040,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_vimage__subsetI_0,
[final] ).
cnf(i_0_1041,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_image__set__diff_0,
[final] ).
cnf(i_0_1042,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4) = X6
| ~ class_Ring__and__Field_Oring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6) ),
cls_eq__add__iff1_0,
[final] ).
cnf(i_0_1043,axiom,
( X4 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6)
| ~ class_Ring__and__Field_Oring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6) ),
cls_eq__add__iff2_0,
[final] ).
cnf(i_0_1044,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
cls_fun__upd__idem__iff_0,
[final] ).
cnf(i_0_1045,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
cls_vimageD_0,
[final] ).
cnf(i_0_1046,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
cls_vimageE_0,
[final] ).
cnf(i_0_1047,axiom,
( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) ),
cls_Un__Int__assoc__eq_0,
[final] ).
cnf(i_0_1048,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)
| ~ class_Ring__and__Field_Osemiring(X1) ),
cls_combine__common__factor_0,
[final] ).
cnf(i_0_1049,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__image__comp_0,
[final] ).
cnf(i_0_1050,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_image__inv__f__f_0,
[final] ).
cnf(i_0_1051,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_inj__image__mem__iff_1,
[final] ).
cnf(i_0_1052,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__image__cancel_0,
[final] ).
cnf(i_0_1053,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
cls_Un__Int__distrib2_0,
[final] ).
cnf(i_0_1054,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
cls_Int__Un__distrib2_0,
[final] ).
cnf(i_0_1055,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),X2)) ),
cls_fold1Set__sing_0,
[final] ).
cnf(i_0_1056,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
cls_vimage__code_0,
[final] ).
cnf(i_0_1057,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__subset__iff_1,
[final] ).
cnf(i_0_1058,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
cls_inj__on__inv__into_0,
[final] ).
cnf(i_0_1059,axiom,
( hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))
| ~ hBOOL(c_in(X1,hAPP(X3,X6),X5))
| ~ hBOOL(c_in(X6,X2,X4)) ),
cls_UN__I_0,
[final] ).
cnf(i_0_1060,axiom,
( hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))
| ~ hBOOL(c_in(X1,hAPP(X3,X6),X5))
| ~ hBOOL(c_in(X6,X2,X4)) ),
cls_UN__iff_2,
[final] ).
cnf(i_0_1061,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
cls_inj__on__Un__image__eq__iff_0,
[final] ).
cnf(i_0_1062,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff1__ring_0,
[final] ).
cnf(i_0_1063,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff1_0,
[final] ).
cnf(i_0_1064,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),c_Finite__Set_Osetsum(X2,X4,X5,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_lessequals(X4,X3,tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff_0,
[final] ).
cnf(i_0_1065,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| hBOOL(c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname))
| ~ v_wt(X2) ),
cls_assms_I3_J_0,
[final] ).
cnf(i_0_1066,axiom,
( c_Set_Oimage(X1,X2,X3,X3) = X2
| ~ c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_endo__inj__surj_0,
[final] ).
cnf(i_0_1067,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
cls_image__vimage__subset_0,
[final] ).
cnf(i_0_1068,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Obij(X1,X3,X4) ),
cls_vimage__subset__eq_1,
[final] ).
cnf(i_0_1069,axiom,
( c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Set_Ovimage(X2,X1,X4,X5),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Obij(X2,X4,X5) ),
cls_vimage__subset__eq_0,
[final] ).
cnf(i_0_1070,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_8,
[final] ).
cnf(i_0_1071,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X3,X4))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_4,
[final] ).
cnf(i_0_1072,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
cls_image__vimage__eq_0,
[final] ).
cnf(i_0_1073,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Diff_0,
[final] ).
cnf(i_0_1074,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_9,
[final] ).
cnf(i_0_1075,axiom,
( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_card__Diff1__less_0,
[final] ).
cnf(i_0_1076,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X3,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_5,
[final] ).
cnf(i_0_1077,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),X4) = X4,
cls_UN__extend__simps_I2_J_0,
[final] ).
cnf(i_0_1078,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
cls_Un__Int__distrib_0,
[final] ).
cnf(i_0_1079,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
cls_Int__Un__distrib_0,
[final] ).
cnf(i_0_1080,axiom,
( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X4),tc_nat)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_lessequals(c_Set_Oimage(X5,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X5,X1,X2,X4) ),
cls_card__inj__on__le_0,
[final] ).
cnf(i_0_1081,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(c_in(X6,X1,X3)) ),
cls_SUP1__I_0,
[final] ).
cnf(i_0_1082,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(c_in(X6,X1,X3)) ),
cls_SUP1__iff_2,
[final] ).
cnf(i_0_1083,axiom,
( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)) = c_Finite__Set_Ocard(X1,X3)
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_card__Suc__Diff1_0,
[final] ).
cnf(i_0_1084,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_3,
[final] ).
cnf(i_0_1085,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_diff__single__insert_0,
[final] ).
cnf(i_0_1086,axiom,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
cls_rangeI_0,
[final] ).
cnf(i_0_1087,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
cls_vimageI_0,
[final] ).
cnf(i_0_1088,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
cls_vimageI2_0,
[final] ).
cnf(i_0_1089,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
cls_vimage__eq_1,
[final] ).
cnf(i_0_1090,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))),
cls_Nitpick_OEx1__def_2,
[final] ).
cnf(i_0_1091,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_4,
[final] ).
cnf(i_0_1092,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
cls_imageI_0,
[final] ).
cnf(i_0_1093,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
cls_image__eqI_0,
[final] ).
cnf(i_0_1094,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_image__iff_2,
[final] ).
cnf(i_0_1095,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_rev__image__eqI_0,
[final] ).
cnf(i_0_1096,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__insert_0,
[final] ).
cnf(i_0_1097,axiom,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
cls_UnE_0,
[final] ).
cnf(i_0_1098,axiom,
( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_card__Diff1__le_0,
[final] ).
cnf(i_0_1099,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
cls_Un__Int__assoc__eq_1,
[final] ).
cnf(i_0_1100,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__eq__iff_0,
[final] ).
cnf(i_0_1101,axiom,
( c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1,X6,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_UN__subset__iff_0,
[final] ).
cnf(i_0_1102,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
cls_image__subset__iff_0,
[final] ).
cnf(i_0_1103,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem__iff_1,
[final] ).
cnf(i_0_1104,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__triv_0,
[final] ).
cnf(i_0_1105,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem_0,
[final] ).
cnf(i_0_1106,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| hBOOL(c_in(X2,X4,X3))
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_1,
[final] ).
cnf(i_0_1107,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__vimage__image__eq_0,
[final] ).
cnf(i_0_1108,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetsum(X2,X3,X5,X1)
| hBOOL(c_in(X4,X3,X5))
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff1_1,
[final] ).
cnf(i_0_1109,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,X1,X2,X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
cls_finite__imageD_0,
[final] ).
cnf(i_0_1110,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
cls_vimage__mono_0,
[final] ).
cnf(i_0_1111,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
cls_image__mono_0,
[final] ).
cnf(i_0_1112,axiom,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_subset__image__iff_2,
[final] ).
cnf(i_0_1113,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)) ),
cls_IntE_0,
[final] ).
cnf(i_0_1114,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)) ),
inference(rw,[status(thm)],[i_0_933,c_0_914]),
[final] ).
cnf(i_0_1115,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
cls_IntE_1,
[final] ).
cnf(i_0_1116,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,tc_fun(X1,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,tc_fun(X1,tc_bool))
| ~ hBOOL(c_in(X3,X4,X5)) ),
cls_UN__absorb_0,
[final] ).
cnf(i_0_1117,axiom,
( c_Set_Ovimage(X1,X2,X3,X4) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X1,X3,X4),X2,X4,X3)
| ~ c_Fun_Obij(X1,X3,X4) ),
cls_bij__vimage__eq__inv__image_0,
[final] ).
cnf(i_0_1118,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__surj__inj_0,
[final] ).
cnf(i_0_1119,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) ),
cls_class__ringb_Oadd__mul__solve_0,
[final] ).
cnf(i_0_1120,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) ),
cls_class__ringb_Onoteq__reduce_0,
[final] ).
cnf(i_0_1121,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
cls_vimage__code_1,
[final] ).
cnf(i_0_1122,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
cls_Un__assoc_0,
[final] ).
cnf(i_0_1123,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
cls_Int__assoc_0,
[final] ).
cnf(i_0_1124,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X2,X1,X3))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_0,
[final] ).
cnf(i_0_1125,axiom,
( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4),c_Finite__Set_Ocard(X2,X3),tc_nat)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__image__le_0,
[final] ).
cnf(i_0_1126,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),hAPP(X4,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool))),
cls_UN__insert_0,
[final] ).
cnf(i_0_1127,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__f__f_0,
[final] ).
cnf(i_0_1128,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
cls_inv__f__eq_0,
[final] ).
cnf(i_0_1129,axiom,
( c_Finite__Set_Ofinite(hAPP(X1,X2),X3)
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X4,X5) ),
cls_finite__UN_0,
[final] ).
cnf(i_0_1130,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X3)) ),
inference(rw,[status(thm)],[i_0_934,c_0_914]),
[final] ).
cnf(i_0_1131,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ hBOOL(c_in(X5,X1,X3))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__f__f_0,
[final] ).
cnf(i_0_1132,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
| ~ hBOOL(c_in(X1,X2,X3))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
cls_inv__into__f__eq_0,
[final] ).
cnf(i_0_1133,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
cls_Diff__Int__distrib2_0,
[final] ).
cnf(i_0_1134,axiom,
( c_Finite__Set_Osetsum(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X3)),c_Finite__Set_Osetsum(X2,X4,X5,X1))
| hBOOL(c_in(X3,X4,X5))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X4,X5) ),
cls_setsum__insert_0,
[final] ).
cnf(i_0_1135,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_eq__card__imp__inj__on_0,
[final] ).
cnf(i_0_1136,axiom,
hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X2)),
cls_fold1Set__sing_1,
[final] ).
cnf(i_0_1137,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
cls_inj__on__Un_0,
[final] ).
cnf(i_0_1138,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X2),X3,X4) ),
cls_inj__on__Un_1,
[final] ).
cnf(i_0_1139,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Odistrib__inf__le_0,
[final] ).
cnf(i_0_1140,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__inf__le_0,
[final] ).
cnf(i_0_1141,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Odistrib__sup__le_0,
[final] ).
cnf(i_0_1142,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__sup__le_0,
[final] ).
cnf(i_0_1143,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X3))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_comm__monoid__add_Ofold1__Un_0,
[final] ).
cnf(i_0_1144,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_fold1__Un_0,
[final] ).
cnf(i_0_1145,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_IntI_0,
[final] ).
cnf(i_0_1146,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_Int__iff_2,
[final] ).
cnf(i_0_1147,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),
cls_Diff__Int2_0,
[final] ).
cnf(i_0_1148,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)) ),
cls_sup1E_0,
[final] ).
cnf(i_0_1149,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__vimageI_0,
[final] ).
cnf(i_0_1150,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(c_in(X2,X3,X4)) ),
cls_insert__image_0,
[final] ).
cnf(i_0_1151,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(c_Finite__Set_Ofold1(X4,X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(X4,hAPP(c_Finite__Set_Ofold1(X4,X1),X2)),hAPP(c_Finite__Set_Ofold1(X4,X1),X3))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X1) ),
cls_ab__semigroup__mult_Ofold1__Un_0,
[final] ).
cnf(i_0_1152,axiom,
( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2,X1),X1,X2) = X3
| ~ c_Fun_Obij(X3,X2,X1) ),
cls_inv__inv__eq_0,
[final] ).
cnf(i_0_1153,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
cls_inf1E_0,
[final] ).
cnf(i_0_1154,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
cls_inf1E_1,
[final] ).
cnf(i_0_1155,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X1,tc_bool))),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
cls_Un__Diff_0,
[final] ).
cnf(i_0_1156,axiom,
c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool))),
cls_Diff__Un_0,
[final] ).
cnf(i_0_1157,axiom,
c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool))),
cls_Diff__Int_0,
[final] ).
cnf(i_0_1158,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
cls_Diff__Int__distrib_0,
[final] ).
cnf(i_0_1159,axiom,
( X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1)) ),
cls_Nitpick_OEx1__def_3,
[final] ).
cnf(i_0_1160,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X5) ),
cls_finite__surj_0,
[final] ).
cnf(i_0_1161,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_inj__on__iff__eq__card_0,
[final] ).
cnf(i_0_1162,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X5))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I15_J_0,
[final] ).
cnf(i_0_1163,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
cls_image__insert_0,
[final] ).
cnf(i_0_1164,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_card__image_0,
[final] ).
cnf(i_0_1165,plain,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(hAPP(X4,X1))
| ~ hBOOL(c_in(X1,X3,X2)) ),
inference(rw,[status(thm)],[i_0_935,c_0_914]),
[final] ).
cnf(i_0_1166,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
| ~ c_Fun_Obij(X3,X4,X2) ),
cls_finite__vimage__iff_0,
[final] ).
cnf(i_0_1167,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Un__mono_0,
[final] ).
cnf(i_0_1168,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Int__mono_0,
[final] ).
cnf(i_0_1169,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
| ~ hBOOL(c_in(X2,X4,X1)) ),
cls_Int__insert__left_0,
[final] ).
cnf(i_0_1170,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
cls_Un__left__commute_0,
[final] ).
cnf(i_0_1171,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
cls_Int__left__commute_0,
[final] ).
cnf(i_0_1172,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_UnCI_1,
[final] ).
cnf(i_0_1173,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2)) ),
cls_UnCI_0,
[final] ).
cnf(i_0_1174,axiom,
( X1 = X2
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
cls_singletonE_0,
[final] ).
cnf(i_0_1175,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_0,
[final] ).
cnf(i_0_1176,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_1,
[final] ).
cnf(i_0_1177,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_2,
[final] ).
cnf(i_0_1178,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_3,
[final] ).
cnf(i_0_1179,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
cls_Diff__insert2_0,
[final] ).
cnf(i_0_1180,axiom,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3)) ),
cls_DiffE_1,
[final] ).
cnf(i_0_1181,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_ivl__disj__un_I5_J_0,
[final] ).
cnf(i_0_1182,axiom,
( c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ hBOOL(c_in(X2,X3,X4)) ),
cls_UN__upper_0,
[final] ).
cnf(i_0_1183,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_fold1__Un2_0,
[final] ).
cnf(i_0_1184,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
cls_inj__on__insert_0,
[final] ).
cnf(i_0_1185,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__Diff_0,
[final] ).
cnf(i_0_1186,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1),
cls_insert__inter__insert_0,
[final] ).
cnf(i_0_1187,axiom,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
cls_UN__extend__simps_I1_J_0,
[final] ).
cnf(i_0_1188,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
cls_Diff__subset__conv_1,
[final] ).
cnf(i_0_1189,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
cls_inj__on__diff_0,
[final] ).
cnf(i_0_1190,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
cls_UN__extend__simps_I3_J_0,
[final] ).
cnf(i_0_1191,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5)) ),
cls_inj__onD_0,
[final] ).
cnf(i_0_1192,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__def_0,
[final] ).
cnf(i_0_1193,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__iff_0,
[final] ).
cnf(i_0_1194,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__contraD_0,
[final] ).
cnf(i_0_1195,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)) ),
cls_DiffE_0,
[final] ).
cnf(i_0_1196,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
| ~ hBOOL(c_in(X3,X2,X1)) ),
cls_Int__insert__right_0,
[final] ).
cnf(i_0_1197,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
cls_finite__Diff__insert_0,
[final] ).
cnf(i_0_1198,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
cls_subset__inj__on_0,
[final] ).
cnf(i_0_1199,axiom,
( c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X3,X4,X5)) ),
cls_le__SUPI_0,
[final] ).
cnf(i_0_1200,axiom,
( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),X3,X1)
| ~ c_Fun_Obij(X2,X1,X3) ),
cls_bij__imp__bij__inv_0,
[final] ).
cnf(i_0_1201,axiom,
( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
| hBOOL(c_in(X2,X1,X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_card__Diff__singleton__if_1,
[final] ).
cnf(i_0_1202,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = X2,
cls_Un__Diff__Int_0,
[final] ).
cnf(i_0_1203,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Oadd__mul__solve_1,
[final] ).
cnf(i_0_1204,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Onoteq__reduce_1,
[final] ).
cnf(i_0_1205,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X4,X5,X1)) = c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_Int__greaterThanAtMost_0,
[final] ).
cnf(i_0_1206,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_Int__atLeastAtMost_0,
[final] ).
cnf(i_0_1207,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X1)) = c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_Int__atLeastLessThan_0,
[final] ).
cnf(i_0_1208,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
cls_Diff__subset__conv_0,
[final] ).
cnf(i_0_1209,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I20_J_0,
[final] ).
cnf(i_0_1210,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I13_J_0,
[final] ).
cnf(i_0_1211,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I14_J_0,
[final] ).
cnf(i_0_1212,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
cls_INT__extend__simps_I4_J_0,
[final] ).
cnf(i_0_1213,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_ivl__disj__un_I6_J_0,
[final] ).
cnf(i_0_1214,plain,
( X1 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2)) ),
inference(rw,[status(thm)],[i_0_936,c_0_937]),
[final] ).
cnf(i_0_1215,axiom,
~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)),
cls_empty__fold1SetE_0,
[final] ).
cnf(i_0_1216,axiom,
( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
| hBOOL(c_in(X1,X3,X4))
| ~ hBOOL(c_in(X1,X2,X4)) ),
cls_DiffI_0,
[final] ).
cnf(i_0_1217,axiom,
( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
| hBOOL(c_in(X1,X3,X4))
| ~ hBOOL(c_in(X1,X2,X4)) ),
cls_Diff__iff_2,
[final] ).
cnf(i_0_1218,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_ivl__disj__un_I20_J_0,
[final] ).
cnf(i_0_1219,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_ivl__disj__un_I22_J_0,
[final] ).
cnf(i_0_1220,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_ivl__disj__un_I21_J_0,
[final] ).
cnf(i_0_1221,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_ivl__disj__un_I17_J_0,
[final] ).
cnf(i_0_1222,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4),X1),
cls_Un__insert__left_0,
[final] ).
cnf(i_0_1223,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_inf1I_0,
[final] ).
cnf(i_0_1224,axiom,
( hAPP(X2,X5) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X5,X1,X3)) ),
cls_UNION__empty__conv_I2_J_0,
[final] ).
cnf(i_0_1225,axiom,
( hAPP(X3,X5) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))
| ~ hBOOL(c_in(X5,X2,X4)) ),
cls_UNION__empty__conv_I1_J_0,
[final] ).
cnf(i_0_1226,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__Diff__single_0,
[final] ).
cnf(i_0_1227,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X5,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_2,
[final] ).
cnf(i_0_1228,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
cls_Int__Diff_0,
[final] ).
cnf(i_0_1229,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_sup1CI_1,
[final] ).
cnf(i_0_1230,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4)) ),
cls_sup1CI_0,
[final] ).
cnf(i_0_1231,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_0,
[final] ).
cnf(i_0_1232,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_1,
[final] ).
cnf(i_0_1233,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_0,
[final] ).
cnf(i_0_1234,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_1,
[final] ).
cnf(i_0_1235,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_atLeastatMost__psubset__iff_6,
[final] ).
cnf(i_0_1236,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_atLeastatMost__psubset__iff_5,
[final] ).
cnf(i_0_1237,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
cls_finite__Diff__insert_1,
[final] ).
cnf(i_0_1238,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(c_in(X5,X4,X3)) ),
cls_image__constant_0,
[final] ).
cnf(i_0_1239,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Diff__mono_0,
[final] ).
cnf(i_0_1240,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
cls_Diff__insert_0,
[final] ).
cnf(i_0_1241,axiom,
( hBOOL(c_in(X1,X2,X3))
| X1 = X4
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
cls_insertE_0,
[final] ).
cnf(i_0_1242,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I1_J_0,
[final] ).
cnf(i_0_1243,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__distrib2_0,
[final] ).
cnf(i_0_1244,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib2_0,
[final] ).
cnf(i_0_1245,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__distrib2_0,
[final] ).
cnf(i_0_1246,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
cls_max__add__distrib__left_0,
[final] ).
cnf(i_0_1247,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__join(X1) ),
cls_add__sup__distrib__right_0,
[final] ).
cnf(i_0_1248,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,
[final] ).
cnf(i_0_1249,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
cls_min__add__distrib__left_0,
[final] ).
cnf(i_0_1250,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
cls_add__inf__distrib__right_0,
[final] ).
cnf(i_0_1251,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,
[final] ).
cnf(i_0_1252,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
cls_comm__semiring__class_Odistrib_0,
[final] ).
cnf(i_0_1253,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I8_J_0,
[final] ).
cnf(i_0_1254,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib2_0,
[final] ).
cnf(i_0_1255,axiom,
c_Set_Oinsert(X1,X2,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X2),
cls_insert__is__Un_0,
[final] ).
cnf(i_0_1256,axiom,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_disjoint__iff__not__equal_0,
[final] ).
cnf(i_0_1257,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Finite__Set_Ofinite(X2,X4)
| ~ c_Fun_Obij(X1,X3,X4) ),
cls_finite__vimage__iff_1,
[final] ).
cnf(i_0_1258,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
| hBOOL(c_in(X2,X4,X1)) ),
cls_Int__insert__left_1,
[final] ).
cnf(i_0_1259,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Un__subset__iff_2,
[final] ).
cnf(i_0_1260,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Un__least_0,
[final] ).
cnf(i_0_1261,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_Int__subset__iff_2,
[final] ).
cnf(i_0_1262,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_Int__greatest_0,
[final] ).
cnf(i_0_1263,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__subset__iff_0,
[final] ).
cnf(i_0_1264,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_0,
[final] ).
cnf(i_0_1265,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__subset__iff_1,
[final] ).
cnf(i_0_1266,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_1,
[final] ).
cnf(i_0_1267,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__binary_0,
[final] ).
cnf(i_0_1268,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__binary_0,
[final] ).
cnf(i_0_1269,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
cls_Un__Diff__cancel2_0,
[final] ).
cnf(i_0_1270,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(c_in(X4,X1,X3))
| hBOOL(c_in(X4,X2,X3))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_2,
[final] ).
cnf(i_0_1271,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4),X1),
cls_Un__insert__right_0,
[final] ).
cnf(i_0_1272,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
cls_subset__singletonD_0,
[final] ).
cnf(i_0_1273,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__Un_0,
[final] ).
cnf(i_0_1274,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Max__Un_0,
[final] ).
cnf(i_0_1275,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X4,X2,X1),c_SetInterval_Oord__class_OatLeastLessThan(X5,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastLessThan__subset__iff_1,
[final] ).
cnf(i_0_1276,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1),c_SetInterval_Oord__class_OatLeastLessThan(X2,X5,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastLessThan__subset__iff_0,
[final] ).
cnf(i_0_1277,axiom,
( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
cls_card__Suc__eq_5,
[final] ).
cnf(i_0_1278,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
cls_Un__left__absorb_0,
[final] ).
cnf(i_0_1279,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
cls_Int__left__absorb_0,
[final] ).
cnf(i_0_1280,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X2)) ),
cls_vimage__const_0,
[final] ).
cnf(i_0_1281,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X4,X2,X3))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_0,
[final] ).
cnf(i_0_1282,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_7,
[final] ).
cnf(i_0_1283,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
cls_max__diff__distrib__left_0,
[final] ).
cnf(i_0_1284,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
cls_min__diff__distrib__left_0,
[final] ).
cnf(i_0_1285,axiom,
( c_lessequals(X2,X3,X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_lessequals(X2,hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X4),X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
cls_below__fold1__iff_0,
[final] ).
cnf(i_0_1286,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_HOL_Oord__class_Oless(X2,hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X4),X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
cls_strict__below__fold1__iff_0,
[final] ).
cnf(i_0_1287,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
cls_singleton__iff_1,
[final] ).
cnf(i_0_1288,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
cls_doubleton__eq__iff_4,
[final] ).
cnf(i_0_1289,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__imageI_0,
[final] ).
cnf(i_0_1290,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| hBOOL(c_in(X2,X3,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_3,
[final] ).
cnf(i_0_1291,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1) ),
cls_mult__less__cancel__right__disj_3,
[final] ).
cnf(i_0_1292,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2),X1) ),
cls_mult__less__cancel__left__disj_3,
[final] ).
cnf(i_0_1293,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__distrib1_0,
[final] ).
cnf(i_0_1294,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib1_0,
[final] ).
cnf(i_0_1295,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__distrib1_0,
[final] ).
cnf(i_0_1296,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__join(X1) ),
cls_add__sup__distrib__left_0,
[final] ).
cnf(i_0_1297,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,
[final] ).
cnf(i_0_1298,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
cls_add__inf__distrib__left_0,
[final] ).
cnf(i_0_1299,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,
[final] ).
cnf(i_0_1300,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__d_0,
[final] ).
cnf(i_0_1301,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib1_0,
[final] ).
cnf(i_0_1302,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I23_J_0,
[final] ).
cnf(i_0_1303,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I16_J_0,
[final] ).
cnf(i_0_1304,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_3,
[final] ).
cnf(i_0_1305,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_injD_0,
[final] ).
cnf(i_0_1306,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| hBOOL(c_in(X1,X2,X3)) ),
cls_Diff__insert__absorb_0,
[final] ).
cnf(i_0_1307,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
| hBOOL(c_in(X3,X2,X1)) ),
cls_Int__insert__right_1,
[final] ).
cnf(i_0_1308,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| hBOOL(c_in(X1,X4,X3)) ),
cls_insert__Diff__if_1,
[final] ).
cnf(i_0_1309,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
cls_insertCI_0,
[final] ).
cnf(i_0_1310,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
cls_insert__iff_2,
[final] ).
cnf(i_0_1311,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
cls_ivl__disj__int_I14_J_0,
[final] ).
cnf(i_0_1312,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
cls_ivl__disj__int_I16_J_0,
[final] ).
cnf(i_0_1313,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
cls_ivl__disj__int_I15_J_0,
[final] ).
cnf(i_0_1314,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1) ),
cls_ivl__disj__int_I11_J_0,
[final] ).
cnf(i_0_1315,axiom,
( c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X5,X4,X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5),X1) ),
cls_le__add__right__mono_0,
[final] ).
cnf(i_0_1316,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(c_in(X1,X4,X2)) ),
cls_vimage__const_1,
[final] ).
cnf(i_0_1317,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_image__constant__conv_1,
[final] ).
cnf(i_0_1318,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
cls_finite__Un_0,
[final] ).
cnf(i_0_1319,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2) ),
cls_finite__Un_1,
[final] ).
cnf(i_0_1320,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X3))
| hBOOL(c_in(X2,X3,X1))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_comm__monoid__add_Ofold1__insert_0,
[final] ).
cnf(i_0_1321,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| hBOOL(c_in(X2,X3,X1))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_fold1__insert_0,
[final] ).
cnf(i_0_1322,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
cls_insert__subset_2,
[final] ).
cnf(i_0_1323,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(c_in(X2,X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_6,
[final] ).
cnf(i_0_1324,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(c_in(X4,X1,X3))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert_0,
[final] ).
cnf(i_0_1325,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(c_in(X4,X1,X3))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_1,
[final] ).
cnf(i_0_1326,axiom,
( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_fold1__below__iff_2,
[final] ).
cnf(i_0_1327,axiom,
( c_HOL_Oord__class_Oless(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_fold1__strict__below__iff_2,
[final] ).
cnf(i_0_1328,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_double__diff_0,
[final] ).
cnf(i_0_1329,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_atLeastatMost__subset__iff_3,
[final] ).
cnf(i_0_1330,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1) ),
cls_add__le__cancel__right_0,
[final] ).
cnf(i_0_1331,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1) ),
cls_add__le__cancel__left_0,
[final] ).
cnf(i_0_1332,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1) ),
cls_add__less__cancel__right_0,
[final] ).
cnf(i_0_1333,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1) ),
cls_add__less__cancel__left_0,
[final] ).
cnf(i_0_1334,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
cls_empty__is__image_0,
[final] ).
cnf(i_0_1335,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
cls_image__is__empty_0,
[final] ).
cnf(i_0_1336,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X1)),
inference(rw,[status(thm)],[i_0_938,c_0_937]),
[final] ).
cnf(i_0_1337,axiom,
( hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2)) = hAPP(hAPP(X1,X3),hAPP(c_Finite__Set_Ofold1(X1,X2),X4))
| hBOOL(c_in(X3,X4,X2))
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
cls_ab__semigroup__mult_Ofold1__insert_0,
[final] ).
cnf(i_0_1338,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
cls_Un__Diff__cancel_0,
[final] ).
cnf(i_0_1339,axiom,
( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X3),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_fold1__antimono_0,
[final] ).
cnf(i_0_1340,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1) ),
cls_atLeastatMost__psubset__iff_4,
[final] ).
cnf(i_0_1341,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__mono_0,
[final] ).
cnf(i_0_1342,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__less__le__mono_0,
[final] ).
cnf(i_0_1343,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__le__less__mono_0,
[final] ).
cnf(i_0_1344,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__strict__mono_0,
[final] ).
cnf(i_0_1345,axiom,
( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X1),tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_ivl__diff_0,
[final] ).
cnf(i_0_1346,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
cls_insert__Diff1_0,
[final] ).
cnf(i_0_1347,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_image__constant__conv_0,
[final] ).
cnf(i_0_1348,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
cls_sup__fun__eq_0,
[final] ).
cnf(i_0_1349,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__fun__eq_0,
[final] ).
cnf(i_0_1350,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = X3
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Diff__partition_0,
[final] ).
cnf(i_0_1351,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__assoc_0,
[final] ).
cnf(i_0_1352,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I6_J_0,
[final] ).
cnf(i_0_1353,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__assoc_0,
[final] ).
cnf(i_0_1354,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__assoc_0,
[final] ).
cnf(i_0_1355,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,
[final] ).
cnf(i_0_1356,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__assoc_0,
[final] ).
cnf(i_0_1357,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I21_J_0,
[final] ).
cnf(i_0_1358,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,
[final] ).
cnf(i_0_1359,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I17_J_0,
[final] ).
cnf(i_0_1360,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I2_J_0,
[final] ).
cnf(i_0_1361,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__assoc_0,
[final] ).
cnf(i_0_1362,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I25_J_0,
[final] ).
cnf(i_0_1363,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__a_0,
[final] ).
cnf(i_0_1364,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__a_0,
[final] ).
cnf(i_0_1365,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I18_J_0,
[final] ).
cnf(i_0_1366,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_add__eq__inf__sup_0,
[final] ).
cnf(i_0_1367,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert_1,
[final] ).
cnf(i_0_1368,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(c_in(X2,X1,X4))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_2,
[final] ).
cnf(i_0_1369,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_1370,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
cls_insert__mono_0,
[final] ).
cnf(i_0_1371,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff_0,
[final] ).
cnf(i_0_1372,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
cls_set__rev__mp_0,
[final] ).
cnf(i_0_1373,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subsetD_0,
[final] ).
cnf(i_0_1374,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_set__mp_0,
[final] ).
cnf(i_0_1375,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
cls_psubsetD_0,
[final] ).
cnf(i_0_1376,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_0,
[final] ).
cnf(i_0_1377,axiom,
( hBOOL(c_in(X1,X4,X3))
| hBOOL(c_in(X1,X2,X3))
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
cls_insert__ident_0,
[final] ).
cnf(i_0_1378,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1) = X3
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_SUP__const_0,
[final] ).
cnf(i_0_1379,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X2,X3),tc_nat)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__psubset_0,
[final] ).
cnf(i_0_1380,axiom,
( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_Fun_Obij(X1,X2,X3) ),
cls_bij__def_0,
[final] ).
cnf(i_0_1381,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
cls_bex__empty_0,
[final] ).
cnf(i_0_1382,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) = X5
| ~ class_OrderedGroup_Oab__group__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5) ),
cls_add__cancel__21_0,
[final] ).
cnf(i_0_1383,axiom,
( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_fold1__insert__idem_0,
[final] ).
cnf(i_0_1384,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
cls_ball__empty_0,
[final] ).
cnf(i_0_1385,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_1,
[final] ).
cnf(i_0_1386,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
cls_min__le__iff__disj_0,
[final] ).
cnf(i_0_1387,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
cls_min__less__iff__disj_0,
[final] ).
cnf(i_0_1388,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3),X1) ),
cls_le__max__iff__disj_0,
[final] ).
cnf(i_0_1389,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3),X1) ),
cls_less__max__iff__disj_0,
[final] ).
cnf(i_0_1390,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
cls_Int__lower1_0,
[final] ).
cnf(i_0_1391,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
cls_Int__lower2_0,
[final] ).
cnf(i_0_1392,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
cls_Un__upper1_0,
[final] ).
cnf(i_0_1393,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
cls_Un__upper2_0,
[final] ).
cnf(i_0_1394,axiom,
( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X2),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_fold1__belowI_0,
[final] ).
cnf(i_0_1395,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastatMost__subset__iff_2,
[final] ).
cnf(i_0_1396,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_add__left__mono_0,
[final] ).
cnf(i_0_1397,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_add__le__cancel__left_1,
[final] ).
cnf(i_0_1398,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__right__mono_0,
[final] ).
cnf(i_0_1399,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__le__cancel__right_1,
[final] ).
cnf(i_0_1400,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_add__less__cancel__left_1,
[final] ).
cnf(i_0_1401,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_add__strict__left__mono_0,
[final] ).
cnf(i_0_1402,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__less__cancel__right_1,
[final] ).
cnf(i_0_1403,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__strict__right__mono_0,
[final] ).
cnf(i_0_1404,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_Diff__triv_0,
[final] ).
cnf(i_0_1405,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__Un_2,
[final] ).
cnf(i_0_1406,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__UnI_0,
[final] ).
cnf(i_0_1407,axiom,
( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
cls_card__insert__le_0,
[final] ).
cnf(i_0_1408,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
cls_emptyE_0,
[final] ).
cnf(i_0_1409,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
cls_empty__iff_0,
[final] ).
cnf(i_0_1410,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
cls_ex__in__conv_0,
[final] ).
cnf(i_0_1411,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__sup__iff_2,
[final] ).
cnf(i_0_1412,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Osup__least_0,
[final] ).
cnf(i_0_1413,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__supI_0,
[final] ).
cnf(i_0_1414,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI_0,
[final] ).
cnf(i_0_1415,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_sup__least_0,
[final] ).
cnf(i_0_1416,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__sup__iff_2,
[final] ).
cnf(i_0_1417,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_max__less__iff__conj_2,
[final] ).
cnf(i_0_1418,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Oinf__greatest_0,
[final] ).
cnf(i_0_1419,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__inf__iff_2,
[final] ).
cnf(i_0_1420,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__infI_0,
[final] ).
cnf(i_0_1421,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__infI_0,
[final] ).
cnf(i_0_1422,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__inf__iff_2,
[final] ).
cnf(i_0_1423,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_inf__greatest_0,
[final] ).
cnf(i_0_1424,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_min__less__iff__conj_2,
[final] ).
cnf(i_0_1425,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
cls_singleton__inject_0,
[final] ).
cnf(i_0_1426,axiom,
( hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4) = hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
cls_ab__semigroup__mult_Omult__ac_I1_J_0,
[final] ).
cnf(i_0_1427,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ hBOOL(c_in(X1,X2,X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__insert__if_0,
[final] ).
cnf(i_0_1428,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Un__empty_2,
[final] ).
cnf(i_0_1429,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
cls_vimage__UNIV_0,
[final] ).
cnf(i_0_1430,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_vimage__empty_0,
[final] ).
cnf(i_0_1431,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_image__empty_0,
[final] ).
cnf(i_0_1432,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
cls_empty__is__image_1,
[final] ).
cnf(i_0_1433,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
cls_insertCI_1,
[final] ).
cnf(i_0_1434,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
cls_insertI1_0,
[final] ).
cnf(i_0_1435,axiom,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
cls_insert__iff_1,
[final] ).
cnf(i_0_1436,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Diff__disjoint_0,
[final] ).
cnf(i_0_1437,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0,
[final] ).
cnf(i_0_1438,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__Int_0,
[final] ).
cnf(i_0_1439,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_finite__Int_1,
[final] ).
cnf(i_0_1440,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__trans_0,
[final] ).
cnf(i_0_1441,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__subset__trans_0,
[final] ).
cnf(i_0_1442,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__psubset__trans_0,
[final] ).
cnf(i_0_1443,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__trans_0,
[final] ).
cnf(i_0_1444,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_1445,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_1446,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
cls_less__eqI_1,
[final] ).
cnf(i_0_1447,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__eqI_0,
[final] ).
cnf(i_0_1448,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__left__commute_0,
[final] ).
cnf(i_0_1449,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I7_J_0,
[final] ).
cnf(i_0_1450,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__commute_0,
[final] ).
cnf(i_0_1451,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__left__commute_0,
[final] ).
cnf(i_0_1452,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_add__cancel__21_1,
[final] ).
cnf(i_0_1453,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__left__commute_0,
[final] ).
cnf(i_0_1454,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I22_J_0,
[final] ).
cnf(i_0_1455,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I19_J_0,
[final] ).
cnf(i_0_1456,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I3_J_0,
[final] ).
cnf(i_0_1457,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__commute_0,
[final] ).
cnf(i_0_1458,axiom,
( X1 = X2
| ~ c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__seteq_0,
[final] ).
cnf(i_0_1459,axiom,
( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3),X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Max__mono_0,
[final] ).
cnf(i_0_1460,axiom,
( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Min__antimono_0,
[final] ).
cnf(i_0_1461,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
cls_le__supE_0,
[final] ).
cnf(i_0_1462,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
cls_le__sup__iff_0,
[final] ).
cnf(i_0_1463,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
cls_le__supE_1,
[final] ).
cnf(i_0_1464,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
cls_le__sup__iff_1,
[final] ).
cnf(i_0_1465,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
cls_min__max_Ole__sup__iff_0,
[final] ).
cnf(i_0_1466,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
cls_min__max_Ole__supE_0,
[final] ).
cnf(i_0_1467,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
cls_min__max_Ole__sup__iff_1,
[final] ).
cnf(i_0_1468,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
cls_min__max_Ole__supE_1,
[final] ).
cnf(i_0_1469,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
cls_max__less__iff__conj_0,
[final] ).
cnf(i_0_1470,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
cls_max__less__iff__conj_1,
[final] ).
cnf(i_0_1471,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
cls_le__inf__iff_0,
[final] ).
cnf(i_0_1472,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
cls_le__infE_0,
[final] ).
cnf(i_0_1473,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
cls_le__inf__iff_1,
[final] ).
cnf(i_0_1474,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
cls_le__infE_1,
[final] ).
cnf(i_0_1475,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
cls_min__max_Ole__inf__iff_0,
[final] ).
cnf(i_0_1476,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
cls_min__max_Ole__infE_0,
[final] ).
cnf(i_0_1477,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
cls_min__max_Ole__inf__iff_1,
[final] ).
cnf(i_0_1478,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
cls_min__max_Ole__infE_1,
[final] ).
cnf(i_0_1479,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
cls_min__less__iff__conj_0,
[final] ).
cnf(i_0_1480,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
cls_min__less__iff__conj_1,
[final] ).
cnf(i_0_1481,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
cls_Diff__idemp_0,
[final] ).
cnf(i_0_1482,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insertI2_0,
[final] ).
cnf(i_0_1483,axiom,
( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != X3 ),
cls_subset__Un__eq_1,
[final] ).
cnf(i_0_1484,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_finite__Diff2_0,
[final] ).
cnf(i_0_1485,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
cls_inj__on__empty_0,
[final] ).
cnf(i_0_1486,axiom,
( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(c_in(X3,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__le_0,
[final] ).
cnf(i_0_1487,axiom,
( c_lessequals(X2,hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(c_in(X2,X3,X1))
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_Max__ge_0,
[final] ).
cnf(i_0_1488,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_Un__empty_0,
[final] ).
cnf(i_0_1489,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_Un__empty_1,
[final] ).
cnf(i_0_1490,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_2,
[final] ).
cnf(i_0_1491,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_1492,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2),
cls_Un__commute_0,
[final] ).
cnf(i_0_1493,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2),
cls_Int__commute_0,
[final] ).
cnf(i_0_1494,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
| hBOOL(c_in(X1,X2,X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__insert__if_1,
[final] ).
cnf(i_0_1495,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_Min__insert_0,
[final] ).
cnf(i_0_1496,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_Max__insert_0,
[final] ).
cnf(i_0_1497,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Un__UNIV__left_0,
[final] ).
cnf(i_0_1498,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__left_0,
[final] ).
cnf(i_0_1499,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__add__cancel_0,
[final] ).
cnf(i_0_1500,axiom,
( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
| ~ class_HOL_Ominus(X1) ),
cls_fun__diff__def_0,
[final] ).
cnf(i_0_1501,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Un__absorb2_0,
[final] ).
cnf(i_0_1502,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Un__absorb1_0,
[final] ).
cnf(i_0_1503,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Int__absorb2_0,
[final] ).
cnf(i_0_1504,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Int__absorb1_0,
[final] ).
cnf(i_0_1505,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X3,X2,X1)) ),
cls_Inf__lower_0,
[final] ).
cnf(i_0_1506,axiom,
( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X2,X3,X1)) ),
cls_Sup__upper_0,
[final] ).
cnf(i_0_1507,axiom,
( hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X5) ),
cls_ab__semigroup__mult_Ononempty__iff_2,
[final] ).
cnf(i_0_1508,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
cls_less__fun__def_1,
[final] ).
cnf(i_0_1509,axiom,
( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
cls_ab__semigroup__mult_Omult__left__commute_0,
[final] ).
cnf(i_0_1510,axiom,
( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
cls_card__eq__UNIV__imp__eq__UNIV_0,
[final] ).
cnf(i_0_1511,axiom,
hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) = X3,
cls_fold1__singleton_0,
[final] ).
cnf(i_0_1512,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__le__iff__disj_1,
[final] ).
cnf(i_0_1513,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__infI1_0,
[final] ).
cnf(i_0_1514,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_min__le__iff__disj_2,
[final] ).
cnf(i_0_1515,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_min__max_Ole__infI2_0,
[final] ).
cnf(i_0_1516,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__infI1_0,
[final] ).
cnf(i_0_1517,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_le__infI2_0,
[final] ).
cnf(i_0_1518,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__less__iff__disj_1,
[final] ).
cnf(i_0_1519,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__max_Oless__infI1_0,
[final] ).
cnf(i_0_1520,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_min__less__iff__disj_2,
[final] ).
cnf(i_0_1521,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_min__max_Oless__infI2_0,
[final] ).
cnf(i_0_1522,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__infI1_0,
[final] ).
cnf(i_0_1523,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_less__infI2_0,
[final] ).
cnf(i_0_1524,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__max__iff__disj_1,
[final] ).
cnf(i_0_1525,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__supI1_0,
[final] ).
cnf(i_0_1526,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__max__iff__disj_2,
[final] ).
cnf(i_0_1527,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__supI2_0,
[final] ).
cnf(i_0_1528,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__supI1_0,
[final] ).
cnf(i_0_1529,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI2_0,
[final] ).
cnf(i_0_1530,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__max__iff__disj_1,
[final] ).
cnf(i_0_1531,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_min__max_Oless__supI1_0,
[final] ).
cnf(i_0_1532,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__max__iff__disj_2,
[final] ).
cnf(i_0_1533,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__max_Oless__supI2_0,
[final] ).
cnf(i_0_1534,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__supI1_0,
[final] ).
cnf(i_0_1535,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__supI2_0,
[final] ).
cnf(i_0_1536,axiom,
( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_card__mono_0,
[final] ).
cnf(i_0_1537,axiom,
( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_psubset__card__mono_0,
[final] ).
cnf(i_0_1538,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
cls_Un__empty__left_0,
[final] ).
cnf(i_0_1539,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
cls_Int__UNIV__left_0,
[final] ).
cnf(i_0_1540,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_set__eq__subset_2,
[final] ).
cnf(i_0_1541,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_equalityI_0,
[final] ).
cnf(i_0_1542,axiom,
( hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),X2,X1))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__in_0,
[final] ).
cnf(i_0_1543,axiom,
( hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2),X2,X1))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Max__in_0,
[final] ).
cnf(i_0_1544,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_1545,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
cls_conjecture_1,
[final] ).
cnf(i_0_1546,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
cls_le__funD_0,
[final] ).
cnf(i_0_1547,axiom,
( hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_comm__monoid__add_Ononempty__iff_2,
[final] ).
cnf(i_0_1548,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_Min__singleton_0,
[final] ).
cnf(i_0_1549,axiom,
( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_Max__singleton_0,
[final] ).
cnf(i_0_1550,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I6_J_0,
[final] ).
cnf(i_0_1551,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__trans_0,
[final] ).
cnf(i_0_1552,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I8_J_0,
[final] ).
cnf(i_0_1553,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I7_J_0,
[final] ).
cnf(i_0_1554,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I10_J_0,
[final] ).
cnf(i_0_1555,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__le__trans_0,
[final] ).
cnf(i_0_1556,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__le__less__trans_0,
[final] ).
cnf(i_0_1557,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__trans_0,
[final] ).
cnf(i_0_1558,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__singleton_0,
[final] ).
cnf(i_0_1559,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__singleton_0,
[final] ).
cnf(i_0_1560,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
cls_subset__empty_0,
[final] ).
cnf(i_0_1561,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0,
[final] ).
cnf(i_0_1562,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
cls_Diff__subset_0,
[final] ).
cnf(i_0_1563,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_less__trans__Suc_0,
[final] ).
cnf(i_0_1564,axiom,
c_Set_Ocontents(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
cls_contents__eq_0,
[final] ).
cnf(i_0_1565,axiom,
c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
cls_Nitpick_OThe__psimp_0,
[final] ).
cnf(i_0_1566,plain,
c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
inference(rw,[status(thm)],[i_0_939,c_0_937]),
[final] ).
cnf(i_0_1567,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Un__UNIV__right_0,
[final] ).
cnf(i_0_1568,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__right_0,
[final] ).
cnf(i_0_1569,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_greaterThanAtMost__empty__iff2_0,
[final] ).
cnf(i_0_1570,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_atLeastatMost__empty__iff2_0,
[final] ).
cnf(i_0_1571,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_atLeastLessThan__empty__iff2_0,
[final] ).
cnf(i_0_1572,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_greaterThanAtMost__empty__iff_0,
[final] ).
cnf(i_0_1573,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X3,X1) ),
cls_atLeastatMost__empty__iff_0,
[final] ).
cnf(i_0_1574,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_atLeastLessThan__empty__iff_0,
[final] ).
cnf(i_0_1575,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_le__trans_0,
[final] ).
cnf(i_0_1576,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__absorb2_0,
[final] ).
cnf(i_0_1577,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_0,
[final] ).
cnf(i_0_1578,axiom,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
cls_UNIV__I_0,
[final] ).
cnf(i_0_1579,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__left__idem_0,
[final] ).
cnf(i_0_1580,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I8_J_0,
[final] ).
cnf(i_0_1581,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__idem_0,
[final] ).
cnf(i_0_1582,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__left__idem_0,
[final] ).
cnf(i_0_1583,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
cls_mult__left__idem_0,
[final] ).
cnf(i_0_1584,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I4_J_0,
[final] ).
cnf(i_0_1585,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__idem_0,
[final] ).
cnf(i_0_1586,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__Diff2_1,
[final] ).
cnf(i_0_1587,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_1588,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__insert_0,
[final] ).
cnf(i_0_1589,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__insert_0,
[final] ).
cnf(i_0_1590,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0,
[final] ).
cnf(i_0_1591,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rw,[status(thm)],[i_0_940,c_0_914]),
[final] ).
cnf(i_0_1592,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
cls_finite__insert_0,
[final] ).
cnf(i_0_1593,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_not__psubset__empty_0,
[final] ).
cnf(i_0_1594,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_less__le__not__le_2,
[final] ).
cnf(i_0_1595,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff__psubset__eq_0,
[final] ).
cnf(i_0_1596,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_2,
[final] ).
cnf(i_0_1597,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_rev__predicate1D_0,
[final] ).
cnf(i_0_1598,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0,
[final] ).
cnf(i_0_1599,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_0,
[final] ).
cnf(i_0_1600,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
cls_Un__empty__right_0,
[final] ).
cnf(i_0_1601,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
cls_Int__UNIV__right_0,
[final] ).
cnf(i_0_1602,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
cls_assms_I1_J_0,
[final] ).
cnf(i_0_1603,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
cls_nat__less__cases_0,
[final] ).
cnf(i_0_1604,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_finite__Diff_0,
[final] ).
cnf(i_0_1605,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_1606,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_order__antisym__conv_0,
[final] ).
cnf(i_0_1607,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__antisym_0,
[final] ).
cnf(i_0_1608,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__eq__iff_2,
[final] ).
cnf(i_0_1609,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
cls_subset__empty_1,
[final] ).
cnf(i_0_1610,axiom,
( X3 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
cls_class__ringb_Oadd__cancel_0,
[final] ).
cnf(i_0_1611,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_1612,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_1613,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__antisym__conv2_1,
[final] ).
cnf(i_0_1614,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_linorder__not__less_1,
[final] ).
cnf(i_0_1615,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_linorder__not__le_1,
[final] ).
cnf(i_0_1616,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_not__less__iff__gr__or__eq_1,
[final] ).
cnf(i_0_1617,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_xt1_I9_J_0,
[final] ).
cnf(i_0_1618,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_less__le__not__le_1,
[final] ).
cnf(i_0_1619,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_H_0,
[final] ).
cnf(i_0_1620,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_0,
[final] ).
cnf(i_0_1621,axiom,
( X1 = X2
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_le__less__Suc__eq_0,
[final] ).
cnf(i_0_1622,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
cls_not__less__eq__eq_1,
[final] ).
cnf(i_0_1623,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
cls_not__less__eq_1,
[final] ).
cnf(i_0_1624,axiom,
( c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_greaterThanAtMost__empty_0,
[final] ).
cnf(i_0_1625,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_atLeastatMost__empty_0,
[final] ).
cnf(i_0_1626,axiom,
( c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_atLeastLessThan__empty_0,
[final] ).
cnf(i_0_1627,axiom,
( X2 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3) ),
cls_add__right__cancel_0,
[final] ).
cnf(i_0_1628,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
cls_add__left__cancel_0,
[final] ).
cnf(i_0_1629,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
cls_add__imp__eq_0,
[final] ).
cnf(i_0_1630,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__antisym_0,
[final] ).
cnf(i_0_1631,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X2,X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastAtMost__singleton_0,
[final] ).
cnf(i_0_1632,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_add__diff__cancel_0,
[final] ).
cnf(i_0_1633,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__le1_0,
[final] ).
cnf(i_0_1634,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__le2_0,
[final] ).
cnf(i_0_1635,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I1_J_0,
[final] ).
cnf(i_0_1636,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le1_0,
[final] ).
cnf(i_0_1637,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I2_J_0,
[final] ).
cnf(i_0_1638,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le2_0,
[final] ).
cnf(i_0_1639,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_le__maxI1_0,
[final] ).
cnf(i_0_1640,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_le__maxI2_0,
[final] ).
cnf(i_0_1641,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I3_J_0,
[final] ).
cnf(i_0_1642,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge1_0,
[final] ).
cnf(i_0_1643,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I4_J_0,
[final] ).
cnf(i_0_1644,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge2_0,
[final] ).
cnf(i_0_1645,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__absorb_0,
[final] ).
cnf(i_0_1646,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_sup__inf__absorb_0,
[final] ).
cnf(i_0_1647,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__absorb_0,
[final] ).
cnf(i_0_1648,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__absorb_0,
[final] ).
cnf(i_0_1649,axiom,
hAPP(c_Finite__Set_Ofold1(X1,X2),X3) = c_The(c_Finite__Set_Ofold1Set(X1,X3,X2),X2),
cls_fold1__def_0,
[final] ).
cnf(i_0_1650,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_finite__subset_0,
[final] ).
cnf(i_0_1651,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_rev__finite__subset_0,
[final] ).
cnf(i_0_1652,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_1653,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(rw,[status(thm)],[i_0_941,c_0_914]),
[final] ).
cnf(i_0_1654,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
cls_Suc__le__mono_0,
[final] ).
cnf(i_0_1655,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
cls_Suc__less__eq_0,
[final] ).
cnf(i_0_1656,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_empty__Diff_0,
[final] ).
cnf(i_0_1657,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__UNIV_0,
[final] ).
cnf(i_0_1658,axiom,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
cls_bot__empty__eq_0,
[final] ).
cnf(i_0_1659,axiom,
( X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
cls_le__SucE_0,
[final] ).
cnf(i_0_1660,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv2_0,
[final] ).
cnf(i_0_1661,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv1_0,
[final] ).
cnf(i_0_1662,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__neq__le__trans_0,
[final] ).
cnf(i_0_1663,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__neq__trans_0,
[final] ).
cnf(i_0_1664,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__less__le_2,
[final] ).
cnf(i_0_1665,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__less_0,
[final] ).
cnf(i_0_1666,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I12_J_0,
[final] ).
cnf(i_0_1667,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I11_J_0,
[final] ).
cnf(i_0_1668,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_Suc__le__mono_1,
[final] ).
cnf(i_0_1669,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_Suc__mono_0,
[final] ).
cnf(i_0_1670,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_less__Suc__eq__0__disj_3,
[final] ).
cnf(i_0_1671,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
cls_less__SucE_0,
[final] ).
cnf(i_0_1672,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
cls_not__less__less__Suc__eq_0,
[final] ).
cnf(i_0_1673,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
cls_less__antisym_0,
[final] ).
cnf(i_0_1674,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_Suc(X1) = X2
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_Suc__lessI_0,
[final] ).
cnf(i_0_1675,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__le__less_1,
[final] ).
cnf(i_0_1676,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__less__imp__le_0,
[final] ).
cnf(i_0_1677,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_min__max_Osup__absorb1_0,
[final] ).
cnf(i_0_1678,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__iff__sup_0,
[final] ).
cnf(i_0_1679,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_sup__absorb1_0,
[final] ).
cnf(i_0_1680,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__sup_0,
[final] ).
cnf(i_0_1681,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__iff__inf_0,
[final] ).
cnf(i_0_1682,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_min__max_Oinf__absorb2_0,
[final] ).
cnf(i_0_1683,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__inf_0,
[final] ).
cnf(i_0_1684,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_inf__absorb2_0,
[final] ).
cnf(i_0_1685,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
cls_Suc__leD_0,
[final] ).
cnf(i_0_1686,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
cls_Suc__le__eq_0,
[final] ).
cnf(i_0_1687,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
cls_less__eq__Suc__le_1,
[final] ).
cnf(i_0_1688,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
cls_Suc__lessD_0,
[final] ).
cnf(i_0_1689,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
cls_less__Suc__eq__le_0,
[final] ).
cnf(i_0_1690,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) != X3 ),
cls_min__max_Ole__iff__sup_1,
[final] ).
cnf(i_0_1691,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != X3 ),
cls_le__iff__sup_1,
[final] ).
cnf(i_0_1692,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) != X2 ),
cls_min__max_Ole__iff__inf_1,
[final] ).
cnf(i_0_1693,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
cls_le__iff__inf_1,
[final] ).
cnf(i_0_1694,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1695,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
cls_Int__absorb_0,
[final] ).
cnf(i_0_1696,axiom,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__insert_1,
[final] ).
cnf(i_0_1697,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_greaterThanAtMost__empty__iff2_1,
[final] ).
cnf(i_0_1698,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastatMost__empty__iff2_1,
[final] ).
cnf(i_0_1699,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastLessThan__empty__iff2_1,
[final] ).
cnf(i_0_1700,axiom,
( c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_greaterThanAtMost__empty__iff_1,
[final] ).
cnf(i_0_1701,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastatMost__empty__iff_1,
[final] ).
cnf(i_0_1702,axiom,
( c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastLessThan__empty__iff_1,
[final] ).
cnf(i_0_1703,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_Suc__leI_0,
[final] ).
cnf(i_0_1704,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_less__eq__Suc__le_0,
[final] ).
cnf(i_0_1705,axiom,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__SucI_0,
[final] ).
cnf(i_0_1706,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
| ~ c_lessequals(X1,X1,tc_nat) ),
cls_le__less__Suc__eq_1,
[final] ).
cnf(i_0_1707,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_less__Suc__eq__le_1,
[final] ).
cnf(i_0_1708,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_less__SucI_0,
[final] ).
cnf(i_0_1709,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__neq__implies__less_0,
[final] ).
cnf(i_0_1710,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__eq__less__or__eq_0,
[final] ).
cnf(i_0_1711,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_nat__less__le_2,
[final] ).
cnf(i_0_1712,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_nat__less__le_0,
[final] ).
cnf(i_0_1713,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_termination__basic__simps_I5_J_0,
[final] ).
cnf(i_0_1714,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0,
[final] ).
cnf(i_0_1715,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Diff__empty_0,
[final] ).
cnf(i_0_1716,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0,
[final] ).
cnf(i_0_1717,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_subset__UNIV_0,
[final] ).
cnf(i_0_1718,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
cls_empty__not__insert_0,
[final] ).
cnf(i_0_1719,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_insert__not__empty_0,
[final] ).
cnf(i_0_1720,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
cls_psubset__eq_1,
[final] ).
cnf(i_0_1721,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_1722,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_linorder__neqE__ordered__idom_0,
[final] ).
cnf(i_0_1723,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv3_0,
[final] ).
cnf(i_0_1724,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__less__linear_0,
[final] ).
cnf(i_0_1725,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__neqE_0,
[final] ).
cnf(i_0_1726,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__less__iff__gr__or__eq_0,
[final] ).
cnf(i_0_1727,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1728,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv1_1,
[final] ).
cnf(i_0_1729,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__le_0,
[final] ).
cnf(i_0_1730,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__leE_0,
[final] ).
cnf(i_0_1731,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__less_0,
[final] ).
cnf(i_0_1732,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_not__less__eq__eq_0,
[final] ).
cnf(i_0_1733,axiom,
( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat) ),
cls_not__less__less__Suc__eq_1,
[final] ).
cnf(i_0_1734,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
cls_not__less__eq_0,
[final] ).
cnf(i_0_1735,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__commute_0,
[final] ).
cnf(i_0_1736,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I5_J_0,
[final] ).
cnf(i_0_1737,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__commute_0,
[final] ).
cnf(i_0_1738,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__commute_0,
[final] ).
cnf(i_0_1739,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__commute_0,
[final] ).
cnf(i_0_1740,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I24_J_0,
[final] ).
cnf(i_0_1741,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__c_0,
[final] ).
cnf(i_0_1742,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I7_J_0,
[final] ).
cnf(i_0_1743,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__c_0,
[final] ).
cnf(i_0_1744,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I1_J_0,
[final] ).
cnf(i_0_1745,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__commute_0,
[final] ).
cnf(i_0_1746,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
cls_linorder__neqE__nat_0,
[final] ).
cnf(i_0_1747,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
cls_nat__neq__iff_0,
[final] ).
cnf(i_0_1748,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__linear_0,
[final] ).
cnf(i_0_1749,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__cancel_0,
[final] ).
cnf(i_0_1750,axiom,
( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X3),X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
cls_ab__semigroup__mult_Omult__commute_0,
[final] ).
cnf(i_0_1751,negated_conjecture,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
cls_conjecture_2,
[final] ).
cnf(i_0_1752,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq1_0,
[final] ).
cnf(i_0_1753,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq1_0,
[final] ).
cnf(i_0_1754,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq2_0,
[final] ).
cnf(i_0_1755,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq2_0,
[final] ).
cnf(i_0_1756,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__neq__iff_1,
[final] ).
cnf(i_0_1757,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__le_1,
[final] ).
cnf(i_0_1758,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__irrefl_0,
[final] ).
cnf(i_0_1759,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
cls_Suc__n__not__le__n_0,
[final] ).
cnf(i_0_1760,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rw,[status(thm)],[i_0_942,c_0_914]),
[final] ).
cnf(i_0_1761,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rw,[status(thm)],[i_0_943,c_0_914]),
[final] ).
cnf(i_0_1762,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_UNIV__not__empty_0,
[final] ).
cnf(i_0_1763,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
cls_less__not__refl_0,
[final] ).
cnf(i_0_1764,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
cls_nat__less__le_1,
[final] ).
cnf(i_0_1765,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1766,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1767,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__UNIV_0,
[final] ).
cnf(i_0_1768,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__empty_0,
[final] ).
cnf(i_0_1769,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__UNIV_0,
[final] ).
cnf(i_0_1770,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__empty_0,
[final] ).
cnf(i_0_1771,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__left_0,
[final] ).
cnf(i_0_1772,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__left_0,
[final] ).
cnf(i_0_1773,axiom,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__fun__eq_0,
[final] ).
cnf(i_0_1774,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__fun__eq_0,
[final] ).
cnf(i_0_1775,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite__UNIV_0,
[final] ).
cnf(i_0_1776,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__left_0,
[final] ).
cnf(i_0_1777,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__left_0,
[final] ).
cnf(i_0_1778,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__right_0,
[final] ).
cnf(i_0_1779,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__right_0,
[final] ).
cnf(i_0_1780,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_1781,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0,
[final] ).
cnf(i_0_1782,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__right_0,
[final] ).
cnf(i_0_1783,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__right_0,
[final] ).
cnf(i_0_1784,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_finite_OemptyI_0,
[final] ).
cnf(i_0_1785,axiom,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
cls_le__Suc__eq_2,
[final] ).
cnf(i_0_1786,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1787,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1788,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X2) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__idem_0,
[final] ).
cnf(i_0_1789,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1790,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__idem_0,
[final] ).
cnf(i_0_1791,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2) = X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
cls_mult__idem_0,
[final] ).
cnf(i_0_1792,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__idem_0,
[final] ).
cnf(i_0_1793,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
cls_less__Suc__eq_2,
[final] ).
cnf(i_0_1794,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
cls_lessI_0,
[final] ).
cnf(i_0_1795,axiom,
c_lessequals(X1,X1,tc_nat),
cls_eq__imp__le_0,
[final] ).
cnf(i_0_1796,axiom,
c_lessequals(X1,X1,tc_nat),
cls_le__refl_0,
[final] ).
cnf(i_0_1797,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
clsarity_fun__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_1798,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
clsarity_fun__Orderings_Otop,
[final] ).
cnf(i_0_1799,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_1800,axiom,
( class_HOL_Ominus(tc_fun(X1,X2))
| ~ class_HOL_Ominus(X2) ),
clsarity_fun__HOL_Ominus,
[final] ).
cnf(i_0_1801,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
| ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
clsarity_fun__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1802,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
clsarity_fun__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1803,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1804,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1805,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1806,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1807,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1808,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1809,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1810,axiom,
( c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__class_OMin__def__raw_0,
[final] ).
cnf(i_0_1811,axiom,
( c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_Max__def__raw_0,
[final] ).
cnf(i_0_1812,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Orderings_Oord__class_Omax(X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__max_0,
[final] ).
cnf(i_0_1813,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Orderings_Oord__class_Omin(X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__min_0,
[final] ).
cnf(i_0_1814,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite_0,
[final] ).
cnf(i_0_1815,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
cls_Suc__inject_0,
[final] ).
cnf(i_0_1816,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
cls_nat_Oinject_0,
[final] ).
cnf(i_0_1817,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
cls_conjecture_0,
[final] ).
cnf(i_0_1818,axiom,
c_Suc(X1) != X1,
cls_Suc__n__not__n_0,
[final] ).
cnf(i_0_1819,axiom,
X1 != c_Suc(X1),
cls_n__not__Suc__n_0,
[final] ).
cnf(i_0_1820,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop,
[final] ).
cnf(i_0_1821,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot,
[final] ).
cnf(i_0_1822,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_1823,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
clsarity_bool__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_1824,axiom,
class_HOL_Ominus(tc_nat),
clsarity_nat__HOL_Ominus,
[final] ).
cnf(i_0_1825,axiom,
class_HOL_Ominus(tc_bool),
clsarity_bool__HOL_Ominus,
[final] ).
cnf(i_0_1826,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Ocancel__semigroup__add,
[final] ).
cnf(i_0_1827,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,
[final] ).
cnf(i_0_1828,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
clsarity_nat__Ring__and__Field_Osemiring,
[final] ).
cnf(i_0_1829,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring,
[final] ).
cnf(i_0_1830,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
clsarity_nat__OrderedGroup_Oab__semigroup__mult,
[final] ).
cnf(i_0_1831,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Oab__semigroup__add,
[final] ).
cnf(i_0_1832,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
clsarity_bool__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1833,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
clsarity_nat__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1834,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
clsarity_bool__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1835,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,
[final] ).
cnf(i_0_1836,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
[final] ).
cnf(i_0_1837,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,
[final] ).
cnf(i_0_1838,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1839,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1840,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
clsarity_nat__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_1841,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1842,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1843,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1844,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1845,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1846,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1847,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1848,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring__1,
[final] ).
cnf(i_0_1849,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1850,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1851,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1852,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1853,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1854,axiom,
X1 = X1 ).
cnf(i_0_1855,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1856,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1857,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1858,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1859,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1860,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1861,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1862,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Lattices_Oupper__semilattice__class_Osup(X2) ) ).
cnf(i_0_1863,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).
cnf(i_0_1864,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1865,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1866,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1867,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1868,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1869,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1870,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1871,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1872,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1873,axiom,
( X1 != X2
| c_The(X1,X3) = c_The(X2,X3) ) ).
cnf(i_0_1874,axiom,
( X1 != X2
| c_The(X3,X1) = c_The(X3,X2) ) ).
cnf(i_0_1875,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X1,X3,X4,X5) = c_Hilbert__Choice_Oinv__into(X2,X3,X4,X5) ) ).
cnf(i_0_1876,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X3,X1,X4,X5) = c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5) ) ).
cnf(i_0_1877,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X3,X4,X1,X5) = c_Hilbert__Choice_Oinv__into(X3,X4,X2,X5) ) ).
cnf(i_0_1878,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X3,X4,X5,X1) = c_Hilbert__Choice_Oinv__into(X3,X4,X5,X2) ) ).
cnf(i_0_1879,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1880,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1881,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1882,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1883,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1884,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1885,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1886,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1887,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1888,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1889,axiom,
( X1 != X2
| c_Finite__Set_Ofold1(X1,X3) = c_Finite__Set_Ofold1(X2,X3) ) ).
cnf(i_0_1890,axiom,
( X1 != X2
| c_Finite__Set_Ofold1(X3,X1) = c_Finite__Set_Ofold1(X3,X2) ) ).
cnf(i_0_1891,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1892,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1893,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1894,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1895,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,X5) ) ).
cnf(i_0_1896,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X2,X4,X5) ) ).
cnf(i_0_1897,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X2,X5) ) ).
cnf(i_0_1898,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X2) ) ).
cnf(i_0_1899,axiom,
( X1 != X2
| c_Suc(X1) = c_Suc(X2) ) ).
cnf(i_0_1900,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X1,X3) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X2,X3) ) ).
cnf(i_0_1901,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X1) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X2) ) ).
cnf(i_0_1902,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X1) = c_Orderings_Oord__class_Omax(X2) ) ).
cnf(i_0_1903,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).
cnf(i_0_1904,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X3,X4) = c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X4) ) ).
cnf(i_0_1905,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X1,X4) = c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X2,X4) ) ).
cnf(i_0_1906,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1) = c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X2) ) ).
cnf(i_0_1907,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X4) ) ).
cnf(i_0_1908,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X1,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X2,X4) ) ).
cnf(i_0_1909,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X2) ) ).
cnf(i_0_1910,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X4) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4) ) ).
cnf(i_0_1911,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastLessThan(X3,X1,X4) = c_SetInterval_Oord__class_OatLeastLessThan(X3,X2,X4) ) ).
cnf(i_0_1912,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1) = c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X2) ) ).
cnf(i_0_1913,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Olinorder__class_OMin(X2) ) ).
cnf(i_0_1914,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Olinorder__class_OMax(X2) ) ).
cnf(i_0_1915,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1916,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1917,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1918,axiom,
( X1 != X2
| c_Set_Ocontents(X1,X3) = c_Set_Ocontents(X2,X3) ) ).
cnf(i_0_1919,axiom,
( X1 != X2
| c_Set_Ocontents(X3,X1) = c_Set_Ocontents(X3,X2) ) ).
cnf(i_0_1920,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1921,axiom,
( X1 != X2
| c_in(X1,X3,X4) = c_in(X2,X3,X4) ) ).
cnf(i_0_1922,axiom,
( X1 != X2
| c_in(X3,X1,X4) = c_in(X3,X2,X4) ) ).
cnf(i_0_1923,axiom,
( X1 != X2
| c_in(X3,X4,X1) = c_in(X3,X4,X2) ) ).
cnf(i_0_1924,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1925,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1926,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1927,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1928,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1929,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1930,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1931,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1932,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1933,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1934,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1935,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__ring(X2) ) ).
cnf(i_0_1936,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1937,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1938,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1939,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_1940,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).
cnf(i_0_1941,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1942,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring(X1)
| class_Ring__and__Field_Osemiring(X2) ) ).
cnf(i_0_1943,axiom,
( X1 != X2
| ~ c_Fun_Obij(X1,X3,X4)
| c_Fun_Obij(X2,X3,X4) ) ).
cnf(i_0_1944,axiom,
( X1 != X2
| ~ c_Fun_Obij(X3,X1,X4)
| c_Fun_Obij(X3,X2,X4) ) ).
cnf(i_0_1945,axiom,
( X1 != X2
| ~ c_Fun_Obij(X3,X4,X1)
| c_Fun_Obij(X3,X4,X2) ) ).
cnf(i_0_1946,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1947,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1948,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1949,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1950,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_1951,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_1952,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_1953,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_1954,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_1955,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_1956,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_1957,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1958,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1959,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_1960,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1961,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1962,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_1963,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add__join(X1)
| class_OrderedGroup_Olordered__ab__group__add__join(X2) ) ).
cnf(i_0_1964,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1965,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1966,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1)
| class_OrderedGroup_Olordered__ab__group__add__meet(X2) ) ).
cnf(i_0_1967,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X2) ) ).
cnf(i_0_1968,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1969,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oordered__ring__strict(X2) ) ).
cnf(i_0_1970,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_1971,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1972,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_1973,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1974,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1975,axiom,
( X1 != X2
| ~ class_HOL_Ominus(X1)
| class_HOL_Ominus(X2) ) ).
cnf(i_0_1976,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1977,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1978,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_1979,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1980,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1981,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1982,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1983,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1984,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1985,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_OrderedGroup_Oab__semigroup__mult(X2) ) ).
cnf(i_0_1986,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X3)
| c_OrderedGroup_Oab__semigroup__mult(X2,X3) ) ).
cnf(i_0_1987,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X3,X1)
| c_OrderedGroup_Oab__semigroup__mult(X3,X2) ) ).
cnf(i_0_1988,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1989,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1990,axiom,
( X1 != X2
| ~ v_wt(X1)
| v_wt(X2) ) ).
cnf(i_0_1854_001,axiom,
X1 = X1 ).
cnf(i_0_1855_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1856_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1857_004,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1858_005,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1859_006,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1860_007,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1861_008,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1862_009,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Lattices_Oupper__semilattice__class_Osup(X2) ) ).
cnf(i_0_1863_010,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).
cnf(i_0_1864_011,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1865_012,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1866_013,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1867_014,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1868_015,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1869_016,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1870_017,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1871_018,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1872_019,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1873_020,axiom,
( X1 != X2
| c_The(X1,X3) = c_The(X2,X3) ) ).
cnf(i_0_1874_021,axiom,
( X1 != X2
| c_The(X3,X1) = c_The(X3,X2) ) ).
cnf(i_0_1875_022,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X1,X3,X4,X5) = c_Hilbert__Choice_Oinv__into(X2,X3,X4,X5) ) ).
cnf(i_0_1876_023,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X3,X1,X4,X5) = c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5) ) ).
cnf(i_0_1877_024,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X3,X4,X1,X5) = c_Hilbert__Choice_Oinv__into(X3,X4,X2,X5) ) ).
cnf(i_0_1878_025,axiom,
( X1 != X2
| c_Hilbert__Choice_Oinv__into(X3,X4,X5,X1) = c_Hilbert__Choice_Oinv__into(X3,X4,X5,X2) ) ).
cnf(i_0_1879_026,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1880_027,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1881_028,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1882_029,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1883_030,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1884_031,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1885_032,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1886_033,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1887_034,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1888_035,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1889_036,axiom,
( X1 != X2
| c_Finite__Set_Ofold1(X1,X3) = c_Finite__Set_Ofold1(X2,X3) ) ).
cnf(i_0_1890_037,axiom,
( X1 != X2
| c_Finite__Set_Ofold1(X3,X1) = c_Finite__Set_Ofold1(X3,X2) ) ).
cnf(i_0_1891_038,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1892_039,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1893_040,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1894_041,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1895_042,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,X5) ) ).
cnf(i_0_1896_043,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X2,X4,X5) ) ).
cnf(i_0_1897_044,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X2,X5) ) ).
cnf(i_0_1898_045,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X2) ) ).
cnf(i_0_1899_046,axiom,
( X1 != X2
| c_Suc(X1) = c_Suc(X2) ) ).
cnf(i_0_1900_047,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X1,X3) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X2,X3) ) ).
cnf(i_0_1901_048,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X1) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X2) ) ).
cnf(i_0_1902_049,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X1) = c_Orderings_Oord__class_Omax(X2) ) ).
cnf(i_0_1903_050,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).
cnf(i_0_1904_051,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X3,X4) = c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X4) ) ).
cnf(i_0_1905_052,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X1,X4) = c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X2,X4) ) ).
cnf(i_0_1906_053,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1) = c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X2) ) ).
cnf(i_0_1907_054,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X4) ) ).
cnf(i_0_1908_055,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X1,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X2,X4) ) ).
cnf(i_0_1909_056,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X2) ) ).
cnf(i_0_1910_057,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X4) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4) ) ).
cnf(i_0_1911_058,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastLessThan(X3,X1,X4) = c_SetInterval_Oord__class_OatLeastLessThan(X3,X2,X4) ) ).
cnf(i_0_1912_059,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1) = c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X2) ) ).
cnf(i_0_1913_060,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Olinorder__class_OMin(X2) ) ).
cnf(i_0_1914_061,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Olinorder__class_OMax(X2) ) ).
cnf(i_0_1915_062,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1916_063,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1917_064,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1918_065,axiom,
( X1 != X2
| c_Set_Ocontents(X1,X3) = c_Set_Ocontents(X2,X3) ) ).
cnf(i_0_1919_066,axiom,
( X1 != X2
| c_Set_Ocontents(X3,X1) = c_Set_Ocontents(X3,X2) ) ).
cnf(i_0_1920_067,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1921_068,axiom,
( X1 != X2
| c_in(X1,X3,X4) = c_in(X2,X3,X4) ) ).
cnf(i_0_1922_069,axiom,
( X1 != X2
| c_in(X3,X1,X4) = c_in(X3,X2,X4) ) ).
cnf(i_0_1923_070,axiom,
( X1 != X2
| c_in(X3,X4,X1) = c_in(X3,X4,X2) ) ).
cnf(i_0_1924_071,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1925_072,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1926_073,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1927_074,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1928_075,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1929_076,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1930_077,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1931_078,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1932_079,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1933_080,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1934_081,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1935_082,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__ring(X2) ) ).
cnf(i_0_1936_083,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1937_084,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1938_085,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1939_086,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_1940_087,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).
cnf(i_0_1941_088,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1942_089,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring(X1)
| class_Ring__and__Field_Osemiring(X2) ) ).
cnf(i_0_1943_090,axiom,
( X1 != X2
| ~ c_Fun_Obij(X1,X3,X4)
| c_Fun_Obij(X2,X3,X4) ) ).
cnf(i_0_1944_091,axiom,
( X1 != X2
| ~ c_Fun_Obij(X3,X1,X4)
| c_Fun_Obij(X3,X2,X4) ) ).
cnf(i_0_1945_092,axiom,
( X1 != X2
| ~ c_Fun_Obij(X3,X4,X1)
| c_Fun_Obij(X3,X4,X2) ) ).
cnf(i_0_1946_093,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1947_094,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1948_095,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1949_096,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1950_097,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_1951_098,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_1952_099,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_1953_100,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_1954_101,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_1955_102,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_1956_103,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_1957_104,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1958_105,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1959_106,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_1960_107,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1961_108,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1962_109,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_1963_110,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add__join(X1)
| class_OrderedGroup_Olordered__ab__group__add__join(X2) ) ).
cnf(i_0_1964_111,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1965_112,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1966_113,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1)
| class_OrderedGroup_Olordered__ab__group__add__meet(X2) ) ).
cnf(i_0_1967_114,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X2) ) ).
cnf(i_0_1968_115,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1969_116,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oordered__ring__strict(X2) ) ).
cnf(i_0_1970_117,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_1971_118,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1972_119,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_1973_120,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1974_121,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1975_122,axiom,
( X1 != X2
| ~ class_HOL_Ominus(X1)
| class_HOL_Ominus(X2) ) ).
cnf(i_0_1976_123,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1977_124,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1978_125,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_1979_126,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1980_127,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1981_128,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1982_129,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1983_130,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1984_131,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1985_132,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_OrderedGroup_Oab__semigroup__mult(X2) ) ).
cnf(i_0_1986_133,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X3)
| c_OrderedGroup_Oab__semigroup__mult(X2,X3) ) ).
cnf(i_0_1987_134,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X3,X1)
| c_OrderedGroup_Oab__semigroup__mult(X3,X2) ) ).
cnf(i_0_1988_135,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1989_136,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1990_137,axiom,
( X1 != X2
| ~ v_wt(X1)
| v_wt(X2) ) ).
cnf(i_0_1991,plain,
c_Set_Oimage(X1,X2,X3,X4) = c_Set_Oimage(X1,X2,X3,X4),
inference(equality_inference,[],[970]) ).
cnf(i_0_1992,plain,
( X1 = X1
| ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
| ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
inference(equality_inference,[],[985]) ).
cnf(i_0_1993,plain,
( ~ class_Ring__and__Field_Oring(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X2,X1)),X3)),X4) = X4 ),
inference(equality_inference,[],[1042]) ).
cnf(i_0_1994,plain,
( ~ class_Ring__and__Field_Oring(X1)
| X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X3,X3,X1)),X4)),X2) ),
inference(equality_inference,[],[1043]) ).
cnf(i_0_1995,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X1),X3,X4) ),
inference(equality_inference,[],[1061]) ).
cnf(i_0_1996,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[1100]) ).
cnf(i_0_1997,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| X3 = X4
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(equality_inference,[],[1120]) ).
cnf(i_0_1998,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[1175]) ).
cnf(i_0_1999,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[1176]) ).
cnf(i_0_2000,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[1177]) ).
cnf(i_0_2001,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[1178]) ).
cnf(i_0_2002,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,X3,X4,X5)
| ~ hBOOL(c_in(X1,X3,X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
inference(equality_inference,[],[1194]) ).
cnf(i_0_2003,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[1305]) ).
cnf(i_0_2004,plain,
( X1 = X1
| hBOOL(c_in(X2,X1,X3))
| hBOOL(c_in(X2,X1,X3)) ),
inference(equality_inference,[],[1377]) ).
cnf(i_0_2005,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
inference(equality_inference,[],[1382]) ).
cnf(i_0_2006,plain,
X1 = X1,
inference(equality_inference,[],[1425]) ).
cnf(i_0_2007,plain,
( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
inference(equality_inference,[],[1510]) ).
cnf(i_0_2008,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(equality_inference,[],[1610]) ).
cnf(i_0_2009,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1611]) ).
cnf(i_0_2010,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1612]) ).
cnf(i_0_2011,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[1627]) ).
cnf(i_0_2012,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[1628]) ).
cnf(i_0_2013,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
inference(equality_inference,[],[1629]) ).
cnf(i_0_2014,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1760]) ).
cnf(i_0_2015,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1761]) ).
cnf(i_0_2016,plain,
X1 = X1,
inference(equality_inference,[],[1816]) ).
cnf(i_0_2017,plain,
~ hBOOL(c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1591]) ).
cnf(i_0_2018,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_1591]) ).
cnf(i_0_2019,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1591,i_0_1602]) ).
cnf(i_0_2020,plain,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
inference(rename_variables,[],[i_0_1602]) ).
cnf(i_0_2021,plain,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G,
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1591,i_0_1602,i_0_1855]) ).
cnf(i_0_2022,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Suc(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool)))),X8,X7),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_1591,i_0_1602,i_0_1855,i_0_956]) ).
cnf(i_0_2023,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1819]) ).
cnf(i_0_2024,plain,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2) ),
inference(rename_variables,[],[i_0_956]) ).
cnf(i_0_2025,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_Suc(hAPP(X2,c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool)))),X8),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957]) ).
cnf(i_0_2026,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1819]) ).
cnf(i_0_2027,plain,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2) ),
inference(rename_variables,[],[i_0_957]) ).
cnf(i_0_2028,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X8),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958]) ).
cnf(i_0_2029,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1819]) ).
cnf(i_0_2030,plain,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
inference(rename_variables,[],[i_0_958]) ).
cnf(i_0_2031,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,X7),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959]) ).
cnf(i_0_2032,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1819]) ).
cnf(i_0_2033,plain,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
inference(rename_variables,[],[i_0_959]) ).
cnf(i_0_2034,plain,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Set_Oimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980]) ).
cnf(i_0_2035,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2036,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X1,X2,X3,X4,X5),X1,X4))
| c_Set_Oimage(X2,X1,X4,X5) = c_Set_Oimage(X3,X1,X4,X5) ),
inference(rename_variables,[],[i_0_980]) ).
cnf(i_0_2037,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X1,hAPP(X1,X2),X3,X4)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996]) ).
cnf(i_0_2038,plain,
( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
| X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(X3,X2,X1,X4,X5)) ),
inference(rename_variables,[],[i_0_996]) ).
cnf(i_0_2039,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__XimageE__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),hAPP(X1,X2),X1,X3,X4)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997]) ).
cnf(i_0_2040,plain,
( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
| X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__XimageE__1__1(X3,X1,X2,X4,X5)) ),
inference(rename_variables,[],[i_0_997]) ).
cnf(i_0_2041,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_2035,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005]) ).
cnf(i_0_2042,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2043,plain,
( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
| ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
inference(rename_variables,[],[i_0_1005]) ).
cnf(i_0_2044,plain,
c_Set_Oimage(c_Fun_Ofun__upd(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X2,X3,X4),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X3,X4) = c_Set_Oimage(X1,hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X3,X4),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_2035,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008]) ).
cnf(i_0_2045,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Set_Oimage(c_Fun_Ofun__upd(X4,X1,X5,X3,X6),X2,X3,X6) = c_Set_Oimage(X4,X2,X3,X6) ),
inference(rename_variables,[],[i_0_1008]) ).
cnf(i_0_2046,plain,
hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4))) = hAPP(X1,X4),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_2035,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012]) ).
cnf(i_0_2047,plain,
( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
| hAPP(X2,hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1)) = X1 ),
inference(rename_variables,[],[i_0_1012]) ).
cnf(i_0_2048,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056]) ).
cnf(i_0_2049,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1587]) ).
cnf(i_0_2050,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1056]) ).
cnf(i_0_2051,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058]) ).
cnf(i_0_2052,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2053,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_1058]) ).
cnf(i_0_2054,plain,
hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X4),X5)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089]) ).
cnf(i_0_2055,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
inference(rename_variables,[],[i_0_1435]) ).
cnf(i_0_2056,plain,
( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
| hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
inference(rename_variables,[],[i_0_1089]) ).
cnf(i_0_2057,plain,
c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,c_Set_Oinsert(X5,X2,X4),X3,X4),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1605,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110]) ).
cnf(i_0_2058,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1110]) ).
cnf(i_0_2059,plain,
c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,c_Set_Oinsert(X5,X2,X3),X3,X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1605,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112]) ).
cnf(i_0_2060,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1112]) ).
cnf(i_0_2061,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1605,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1544,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121]) ).
cnf(i_0_2062,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2063,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_2064,plain,
c_Set_Oinsert(hAPP(X1,v_x),c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),X2) = c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1544,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150]) ).
cnf(i_0_2065,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
inference(rename_variables,[],[i_0_1150]) ).
cnf(i_0_2066,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159]) ).
cnf(i_0_2067,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2068,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3))
| X3 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
inference(rename_variables,[],[i_0_1159]) ).
cnf(i_0_2069,plain,
c_lessequals(hAPP(X1,v_x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v_U,X1,tc_Com_Opname,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_1766,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182]) ).
cnf(i_0_2070,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_2071,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188]) ).
cnf(i_0_2072,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2073,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1188]) ).
cnf(i_0_2074,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231]) ).
cnf(i_0_2075,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2076,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1231]) ).
cnf(i_0_2077,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232]) ).
cnf(i_0_2078,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2079,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1232]) ).
cnf(i_0_2080,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233]) ).
cnf(i_0_2081,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1562]) ).
cnf(i_0_2082,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1233]) ).
cnf(i_0_2083,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234]) ).
cnf(i_0_2084,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1562]) ).
cnf(i_0_2085,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1234]) ).
cnf(i_0_2086,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277]) ).
cnf(i_0_2087,plain,
( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
inference(rename_variables,[],[i_0_1277]) ).
cnf(i_0_2088,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376]) ).
cnf(i_0_2089,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1376]) ).
cnf(i_0_2090,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385]) ).
cnf(i_0_2091,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1385]) ).
cnf(i_0_2092,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404]) ).
cnf(i_0_2093,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2 ),
inference(rename_variables,[],[i_0_1404]) ).
cnf(i_0_2094,plain,
c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483]) ).
cnf(i_0_2095,plain,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != X3
| c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_2096,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488]) ).
cnf(i_0_2097,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),X4) = X4,
inference(rename_variables,[],[i_0_1077]) ).
cnf(i_0_2098,plain,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1488]) ).
cnf(i_0_2099,plain,
~ c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560]) ).
cnf(i_0_2100,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_2101,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1560]) ).
cnf(i_0_2102,plain,
c_Set_Oinsert(v_x,v_U,tc_Com_Opname) = v_U,
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561]) ).
cnf(i_0_2103,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(rename_variables,[],[i_0_1561]) ).
cnf(i_0_2104,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599]) ).
cnf(i_0_2105,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1599]) ).
cnf(i_0_2106,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653]) ).
cnf(i_0_2107,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_1653]) ).
cnf(i_0_2108,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685]) ).
cnf(i_0_2109,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2110,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1685]) ).
cnf(i_0_2111,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687]) ).
cnf(i_0_2112,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1687]) ).
cnf(i_0_2113,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688]) ).
cnf(i_0_2114,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1688]) ).
cnf(i_0_2115,plain,
c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689]) ).
cnf(i_0_2116,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1689]) ).
cnf(i_0_2117,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705]) ).
cnf(i_0_2118,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2119,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1705]) ).
cnf(i_0_2120,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708]) ).
cnf(i_0_2121,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2122,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1708]) ).
cnf(i_0_2123,plain,
c_lessequals(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_1562,i_0_2081,i_0_1436,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713]) ).
cnf(i_0_2124,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1713]) ).
cnf(i_0_2125,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_1562,i_0_2081,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760]) ).
cnf(i_0_2126,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_1760]) ).
cnf(i_0_2127,plain,
~ hBOOL(hAPP(c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),X3,X4),X5)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_1562,i_0_2081,i_0_1105,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761]) ).
cnf(i_0_2128,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2129,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_1761]) ).
cnf(i_0_2130,plain,
~ class_Orderings_Otop(tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_1562,i_0_2081,i_0_1105,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781]) ).
cnf(i_0_2131,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2132,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(rename_variables,[],[i_0_1781]) ).
cnf(i_0_2133,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_1562,i_0_2081,i_0_1851,i_0_1105,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786]) ).
cnf(i_0_2134,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1786]) ).
cnf(i_0_2135,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814]) ).
cnf(i_0_2136,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_1814]) ).
cnf(i_0_2137,plain,
c_in(v_x,v_U,tc_Com_Opname) != hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965]) ).
cnf(i_0_2138,plain,
~ c_lessequals(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598]) ).
cnf(i_0_2139,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2140,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1598]) ).
cnf(i_0_2141,plain,
c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)) != v_G,
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856]) ).
cnf(i_0_2142,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_2143,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_2128,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931]) ).
cnf(i_0_2144,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2145,plain,
~ c_lessequals(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),v_G,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_2128,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932]) ).
cnf(i_0_2146,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2147,plain,
~ c_lessequals(c_Suc(X1),X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933]) ).
cnf(i_0_2148,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2149,plain,
~ c_HOL_Oord__class_Oless(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936]) ).
cnf(i_0_2150,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2151,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937]) ).
cnf(i_0_2152,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2153,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938]) ).
cnf(i_0_2154,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2155,plain,
class_Complete__Lattice_Ocomplete__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941]) ).
cnf(i_0_2156,plain,
~ c_Complete__Lattice_Ocomplete__lattice(v_G,X1,X2,X3,X4,X5,c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)))),X7,X6),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946]) ).
cnf(i_0_2157,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,v_G,X2,X3,X4,X5,X6,c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool)))),X7),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947]) ).
cnf(i_0_2158,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Fun_Ofun__upd(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,hAPP(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8),X9,X10),X11,X7),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952]) ).
cnf(i_0_2159,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2160,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_Fun_Ofun__upd(c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X9,hAPP(c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X9),X10,X11),X8),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953]) ).
cnf(i_0_2161,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2162,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),X1,X2,X3,X4,X5,c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Otop__class_Otop(tc_fun(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_bool)))),X6,v_G),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954]) ).
cnf(i_0_2163,plain,
class_Lattices_Olattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1842,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958]) ).
cnf(i_0_2164,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1842,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960]) ).
cnf(i_0_2165,plain,
class_Lattices_Odistrib__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1834,i_0_1842,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961]) ).
cnf(i_0_2166,plain,
class_HOL_Oord(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973]) ).
cnf(i_0_2167,plain,
class_HOL_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1851,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975]) ).
cnf(i_0_2168,plain,
class_Orderings_Opreorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977]) ).
cnf(i_0_2169,plain,
class_Lattices_Obounded__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981]) ).
cnf(i_0_2170,plain,
tc_bool != tc_nat,
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982]) ).
cnf(i_0_2171,plain,
class_Orderings_Obot(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983]) ).
cnf(i_0_2172,plain,
class_Finite__Set_Ofinite_Ofinite(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984]) ).
cnf(i_0_2173,plain,
class_Lattices_Oupper__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988]) ).
cnf(i_0_2174,plain,
class_Lattices_Olower__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989]) ).
cnf(i_0_2175,plain,
c_lessequals(v_U,c_Set_Oinsert(v_x,c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085]) ).
cnf(i_0_2176,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2177,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1085]) ).
cnf(i_0_2178,plain,
c_lessequals(hAPP(X1,v_x),c_Set_Oinsert(X2,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v_U,X1,tc_Com_Opname,tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101]) ).
cnf(i_0_2179,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2180,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool))
| c_lessequals(hAPP(X4,X1),X6,tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1101]) ).
cnf(i_0_2181,plain,
~ c_lessequals(c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102]) ).
cnf(i_0_2182,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2183,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1102]) ).
cnf(i_0_2184,plain,
hAPP(c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2),hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4))) = hAPP(X1,X4),
inference(scs_inference,[],[i_0_1004,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1766,i_0_2052,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132]) ).
cnf(i_0_2185,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_2186,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
inference(rename_variables,[],[i_0_1132]) ).
cnf(i_0_2187,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),X2),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1766,i_0_2052,i_0_2072,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160]) ).
cnf(i_0_2188,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2189,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_1160]) ).
cnf(i_0_2190,plain,
c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1766,i_0_2052,i_0_2072,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198]) ).
cnf(i_0_2191,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1562]) ).
cnf(i_0_2192,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_1198]) ).
cnf(i_0_2193,plain,
c_lessequals(hAPP(X1,v_x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v_U,X1,tc_Com_Opname,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1766,i_0_2052,i_0_2072,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199]) ).
cnf(i_0_2194,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
inference(rename_variables,[],[i_0_1199]) ).
cnf(i_0_2195,plain,
~ hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(X1,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1766,i_0_2052,i_0_2072,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256]) ).
cnf(i_0_2196,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1436]) ).
cnf(i_0_2197,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ hBOOL(c_in(X4,X3,X1))
| ~ hBOOL(c_in(X4,X2,X1)) ),
inference(rename_variables,[],[i_0_1256]) ).
cnf(i_0_2198,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v_x,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1720,i_0_1766,i_0_2052,i_0_2072,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281]) ).
cnf(i_0_2199,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1720]) ).
cnf(i_0_2200,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1281]) ).
cnf(i_0_2201,plain,
c_lessequals(c_Set_Oinsert(v_x,v_U,tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1720,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322]) ).
cnf(i_0_2202,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2203,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1322]) ).
cnf(i_0_2204,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(v_x,v_U,tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1720,i_0_2199,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323]) ).
cnf(i_0_2205,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1720]) ).
cnf(i_0_2206,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1323]) ).
cnf(i_0_2207,plain,
~ c_lessequals(v_U,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1720,i_0_2199,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374]) ).
cnf(i_0_2208,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2209,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1374]) ).
cnf(i_0_2210,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1720,i_0_2199,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375]) ).
cnf(i_0_2211,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
inference(rename_variables,[],[i_0_1435]) ).
cnf(i_0_2212,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1375]) ).
cnf(i_0_2213,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_COMBK(X2,tc_bool,X1),X1,tc_bool) = X2,
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1720,i_0_2199,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378]) ).
cnf(i_0_2214,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_2215,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
| ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
inference(rename_variables,[],[i_0_1378]) ).
cnf(i_0_2216,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(v_x,v_U,tc_Com_Opname),tc_Com_Opname) = c_Finite__Set_Ocard(v_U,tc_Com_Opname),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_1720,i_0_2199,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427]) ).
cnf(i_0_2217,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1427]) ).
cnf(i_0_2218,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441]) ).
cnf(i_0_2219,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1720]) ).
cnf(i_0_2220,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1441]) ).
cnf(i_0_2221,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442]) ).
cnf(i_0_2222,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2223,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1442]) ).
cnf(i_0_2224,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1845,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462]) ).
cnf(i_0_2225,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2226,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1462]) ).
cnf(i_0_2227,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X2),X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1845,i_0_1846,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464]) ).
cnf(i_0_2228,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2229,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1464]) ).
cnf(i_0_2230,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466]) ).
cnf(i_0_2231,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2232,plain,
( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1466]) ).
cnf(i_0_2233,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468]) ).
cnf(i_0_2234,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2235,plain,
( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1468]) ).
cnf(i_0_2236,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469]) ).
cnf(i_0_2237,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1794]) ).
cnf(i_0_2238,plain,
( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1469]) ).
cnf(i_0_2239,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470]) ).
cnf(i_0_2240,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1794]) ).
cnf(i_0_2241,plain,
( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1470]) ).
cnf(i_0_2242,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472]) ).
cnf(i_0_2243,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2244,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1472]) ).
cnf(i_0_2245,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474]) ).
cnf(i_0_2246,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2247,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1474]) ).
cnf(i_0_2248,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476]) ).
cnf(i_0_2249,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2250,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1476]) ).
cnf(i_0_2251,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478]) ).
cnf(i_0_2252,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2253,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1478]) ).
cnf(i_0_2254,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_bool),tc_bool) = c_Suc(c_Finite__Set_Ocard(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494]) ).
cnf(i_0_2255,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1494]) ).
cnf(i_0_2256,plain,
c_lessequals(c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,X2,tc_bool),tc_bool),X1,tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505]) ).
cnf(i_0_2257,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
inference(rename_variables,[],[i_0_1435]) ).
cnf(i_0_2258,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X3),X1,X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_1505]) ).
cnf(i_0_2259,plain,
c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,tc_bool),tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506]) ).
cnf(i_0_2260,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
inference(rename_variables,[],[i_0_1435]) ).
cnf(i_0_2261,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_1506]) ).
cnf(i_0_2262,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508]) ).
cnf(i_0_2263,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1508]) ).
cnf(i_0_2264,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519]) ).
cnf(i_0_2265,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2266,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_2267,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521]) ).
cnf(i_0_2268,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2269,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1521]) ).
cnf(i_0_2270,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522]) ).
cnf(i_0_2271,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2272,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1522]) ).
cnf(i_0_2273,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X2),X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523]) ).
cnf(i_0_2274,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2275,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1523]) ).
cnf(i_0_2276,plain,
~ c_lessequals(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525]) ).
cnf(i_0_2277,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2278,plain,
( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1525]) ).
cnf(i_0_2279,plain,
~ c_lessequals(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527]) ).
cnf(i_0_2280,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2281,plain,
( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1527]) ).
cnf(i_0_2282,plain,
~ c_lessequals(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528]) ).
cnf(i_0_2283,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2284,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1528]) ).
cnf(i_0_2285,plain,
~ c_lessequals(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529]) ).
cnf(i_0_2286,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2287,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1529]) ).
cnf(i_0_2288,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531]) ).
cnf(i_0_2289,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2290,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1531]) ).
cnf(i_0_2291,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533]) ).
cnf(i_0_2292,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2293,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1533]) ).
cnf(i_0_2294,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534]) ).
cnf(i_0_2295,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2296,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1534]) ).
cnf(i_0_2297,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535]) ).
cnf(i_0_2298,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2299,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1535]) ).
cnf(i_0_2300,plain,
c_Set_Oinsert(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541]) ).
cnf(i_0_2301,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2302,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1717]) ).
cnf(i_0_2303,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_1541]) ).
cnf(i_0_2304,plain,
~ c_lessequals(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575]) ).
cnf(i_0_2305,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1575]) ).
cnf(i_0_2306,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577]) ).
cnf(i_0_2307,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1577]) ).
cnf(i_0_2308,plain,
v_U = c_Set_Oinsert(v_x,v_U,tc_Com_Opname),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596]) ).
cnf(i_0_2309,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2310,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(rename_variables,[],[i_0_1596]) ).
cnf(i_0_2311,plain,
~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611]) ).
cnf(i_0_2312,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2313,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
inference(rename_variables,[],[i_0_1718]) ).
cnf(i_0_2314,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(rename_variables,[],[i_0_1611]) ).
cnf(i_0_2315,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),c_Suc(c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616]) ).
cnf(i_0_2316,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1616]) ).
cnf(i_0_2317,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617]) ).
cnf(i_0_2318,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1617]) ).
cnf(i_0_2319,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620]) ).
cnf(i_0_2320,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1620]) ).
cnf(i_0_2321,plain,
X1 = c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),X2,X4),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628]) ).
cnf(i_0_2322,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
| X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(rename_variables,[],[i_0_1628]) ).
cnf(i_0_2323,plain,
X1 = c_ATP__Linkup_Osko__Set__XimageE__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2,X4),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629]) ).
cnf(i_0_2324,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
| X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_2325,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(v_U,X1,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651]) ).
cnf(i_0_2326,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1562]) ).
cnf(i_0_2327,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1651]) ).
cnf(i_0_2328,plain,
c_lessequals(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Fun_Ofun__upd(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1,hAPP(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X2,X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727]) ).
cnf(i_0_2329,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_2330,plain,
c_lessequals(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731]) ).
cnf(i_0_2331,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1731]) ).
cnf(i_0_2332,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_bool),c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)),tc_bool),tc_fun(tc_bool,tc_bool)),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(tc_bool,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071]) ).
cnf(i_0_2333,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
inference(rename_variables,[],[i_0_1435]) ).
cnf(i_0_2334,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1720]) ).
cnf(i_0_2335,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1071]) ).
cnf(i_0_2336,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106]) ).
cnf(i_0_2337,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2338,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1593]) ).
cnf(i_0_2339,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_2340,plain,
c_Finite__Set_Osetsum(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_nat)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134]) ).
cnf(i_0_2341,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2342,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Osetsum(X4,c_Set_Oinsert(X1,X2,X3),X3,X5) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(X4,X1)),c_Finite__Set_Osetsum(X4,X2,X3,X5))
| ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1134]) ).
cnf(i_0_2343,plain,
c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290]) ).
cnf(i_0_2344,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2345,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2346,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2347,plain,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1290]) ).
cnf(i_0_2348,plain,
~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444]) ).
cnf(i_0_2349,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2350,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2351,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X5,X4,X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1444]) ).
cnf(i_0_2352,plain,
~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487]) ).
cnf(i_0_2353,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1578]) ).
cnf(i_0_2354,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2355,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,hAPP(c_Finite__Set_Olinorder__class_OMax(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1487]) ).
cnf(i_0_2356,plain,
c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Fun_Ofun__upd(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1,hAPP(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X2,X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594]) ).
cnf(i_0_2357,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1594]) ).
cnf(i_0_2358,plain,
~ c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))))))),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622]) ).
cnf(i_0_2359,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1622]) ).
cnf(i_0_2360,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))))),c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623]) ).
cnf(i_0_2361,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_2362,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655]) ).
cnf(i_0_2363,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1655]) ).
cnf(i_0_2364,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668]) ).
cnf(i_0_2365,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1668]) ).
cnf(i_0_2366,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))))),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670]) ).
cnf(i_0_2367,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1670]) ).
cnf(i_0_2368,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))))),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704]) ).
cnf(i_0_2369,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1704]) ).
cnf(i_0_2370,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707]) ).
cnf(i_0_2371,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1707]) ).
cnf(i_0_2372,plain,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732]) ).
cnf(i_0_2373,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1732]) ).
cnf(i_0_2374,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734]) ).
cnf(i_0_2375,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1734]) ).
cnf(i_0_2376,plain,
c_lessequals(v_G,c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748]) ).
cnf(i_0_2377,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1748]) ).
cnf(i_0_2378,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787]) ).
cnf(i_0_2379,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1787]) ).
cnf(i_0_2380,plain,
~ c_Finite__Set_Ofinite(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X1,hAPP(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X1),X2,X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925]) ).
cnf(i_0_2381,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2382,plain,
~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926]) ).
cnf(i_0_2383,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2384,plain,
class_Ring__and__Field_Osemiring(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942]) ).
cnf(i_0_2385,plain,
class_Orderings_Olinorder(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957]) ).
cnf(i_0_2386,plain,
class_Ring__and__Field_Ocomm__semiring__1(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1832,i_0_1834,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959]) ).
cnf(i_0_2387,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1832,i_0_1834,i_0_1836,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962]) ).
cnf(i_0_2388,plain,
class_Ring__and__Field_Ocomm__semiring(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1832,i_0_1834,i_0_1836,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967]) ).
cnf(i_0_2389,plain,
class_OrderedGroup_Opordered__ab__semigroup__add(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970]) ).
cnf(i_0_2390,plain,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971]) ).
cnf(i_0_2391,plain,
class_OrderedGroup_Oab__semigroup__add(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972]) ).
cnf(i_0_2392,plain,
class_OrderedGroup_Ocomm__monoid__add(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976]) ).
cnf(i_0_2393,plain,
class_OrderedGroup_Ocancel__semigroup__add(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978]) ).
cnf(i_0_2394,plain,
class_OrderedGroup_Ocancel__ab__semigroup__add(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979]) ).
cnf(i_0_2395,plain,
class_OrderedGroup_Oab__semigroup__mult(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985]) ).
cnf(i_0_2396,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_fun(X1,tc_bool))
| c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_fun(X1,tc_bool)),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_fun(X1,tc_bool)),X5),X3)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),tc_fun(X1,tc_bool)) ),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989]) ).
cnf(i_0_2397,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1717]) ).
cnf(i_0_2398,plain,
( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X6,X1)
| c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(rename_variables,[],[i_0_989]) ).
cnf(i_0_2399,plain,
~ c_lessequals(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(hAPP(X1,X2))),X1,tc_fun(X3,tc_nat)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546]) ).
cnf(i_0_2400,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
| ~ c_lessequals(X1,X3,tc_fun(X5,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1546]) ).
cnf(i_0_2401,plain,
c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282]) ).
cnf(i_0_2402,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2403,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1605]) ).
cnf(i_0_2404,plain,
( hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_2405,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)),c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388]) ).
cnf(i_0_2406,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2407,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X4,X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1388]) ).
cnf(i_0_2408,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417]) ).
cnf(i_0_2409,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_2410,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1417]) ).
cnf(i_0_2411,plain,
hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)) = c_Suc(X1),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608]) ).
cnf(i_0_2412,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_1608]) ).
cnf(i_0_2413,plain,
c_HOL_Oord__class_Oless(v_G,c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608,i_0_1667]) ).
cnf(i_0_2414,plain,
( X1 = X2
| ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1667]) ).
cnf(i_0_2415,plain,
hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1) = c_Suc(X1),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608,i_0_1667,i_0_1726]) ).
cnf(i_0_2416,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1726]) ).
cnf(i_0_2417,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_fun(X1,tc_bool))
| c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_fun(X1,tc_bool)),X2),X3)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_fun(X1,tc_bool)),X4),X3)),X5),tc_fun(X1,tc_bool)) ),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1716,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608,i_0_1667,i_0_1726,i_0_991]) ).
cnf(i_0_2418,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2419,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_HOL_Ominus__class_Ominus(X3,X4,X2)),X5)),X6),X2)
| c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X4),X5)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X5)),X6),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(rename_variables,[],[i_0_991]) ).
cnf(i_0_2420,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_nat)
| c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)),X2)),X3),X3,tc_nat) ),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_2406,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1716,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608,i_0_1667,i_0_1726,i_0_991,i_0_999]) ).
cnf(i_0_2421,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2422,plain,
( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X5,X1)),X3)),X4),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(rename_variables,[],[i_0_999]) ).
cnf(i_0_2423,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_nat)
| c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X2,tc_nat)),X3)),X1),tc_nat) ),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_2406,i_0_2421,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1716,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608,i_0_1667,i_0_1726,i_0_991,i_0_999,i_0_1001]) ).
cnf(i_0_2424,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2425,plain,
( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)
| c_lessequals(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(rename_variables,[],[i_0_1001]) ).
cnf(i_0_2426,plain,
( ~ class_Ring__and__Field_Oring(tc_nat)
| hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X1,X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X2,tc_nat)),X3)),tc_nat) ),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_2406,i_0_2421,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1716,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608,i_0_1667,i_0_1726,i_0_991,i_0_999,i_0_1001,i_0_1043]) ).
cnf(i_0_2427,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6)
| X4 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X5,X2,X1)),X3)),X6)
| ~ class_Ring__and__Field_Oring(X1) ),
inference(rename_variables,[],[i_0_1043]) ).
cnf(i_0_2428,plain,
( ~ c_Fun_Obij(X1,X2,X3)
| c_lessequals(c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3),X4,tc_fun(X2,tc_bool)) ),
inference(scs_inference,[],[i_0_1004,i_0_1817,i_0_1545,i_0_1751,i_0_1764,i_0_2121,i_0_2150,i_0_2152,i_0_2265,i_0_2268,i_0_2271,i_0_2274,i_0_2289,i_0_2292,i_0_2295,i_0_2298,i_0_1796,i_0_2109,i_0_2225,i_0_2228,i_0_2231,i_0_2234,i_0_2243,i_0_2246,i_0_2249,i_0_2252,i_0_2406,i_0_2421,i_0_1605,i_0_2075,i_0_2078,i_0_2176,i_0_2179,i_0_2222,i_0_2301,i_0_2309,i_0_1720,i_0_2199,i_0_2205,i_0_2219,i_0_1766,i_0_2052,i_0_2072,i_0_2188,i_0_2202,i_0_2346,i_0_2350,i_0_1818,i_0_2100,i_0_2142,i_0_1819,i_0_2023,i_0_2026,i_0_2029,i_0_1485,i_0_1759,i_0_2118,i_0_2131,i_0_2146,i_0_2277,i_0_2280,i_0_2283,i_0_2286,i_0_1794,i_0_2237,i_0_1562,i_0_2081,i_0_2084,i_0_2191,i_0_1593,i_0_1716,i_0_1717,i_0_2302,i_0_1820,i_0_1822,i_0_1823,i_0_1825,i_0_1826,i_0_1827,i_0_1828,i_0_1829,i_0_1830,i_0_1831,i_0_1832,i_0_1834,i_0_1835,i_0_1836,i_0_1837,i_0_1838,i_0_1839,i_0_1840,i_0_1842,i_0_1843,i_0_1844,i_0_1845,i_0_1846,i_0_1847,i_0_1848,i_0_1849,i_0_1850,i_0_1851,i_0_1852,i_0_1853,i_0_1105,i_0_2128,i_0_2144,i_0_2148,i_0_2154,i_0_2159,i_0_2161,i_0_2381,i_0_1179,i_0_2312,i_0_1784,i_0_1718,i_0_1436,i_0_1432,i_0_1435,i_0_2055,i_0_2211,i_0_2257,i_0_2260,i_0_1544,i_0_2062,i_0_2067,i_0_1077,i_0_1410,i_0_2035,i_0_2042,i_0_2182,i_0_2208,i_0_2337,i_0_2341,i_0_2345,i_0_1578,i_0_1587,i_0_1086,i_0_1591,i_0_1602,i_0_1855,i_0_956,i_0_957,i_0_958,i_0_959,i_0_980,i_0_996,i_0_997,i_0_1005,i_0_1008,i_0_1012,i_0_1056,i_0_1058,i_0_1089,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1159,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1233,i_0_1234,i_0_1277,i_0_1376,i_0_1385,i_0_1404,i_0_1483,i_0_1488,i_0_1560,i_0_1561,i_0_1599,i_0_1653,i_0_1685,i_0_1687,i_0_1688,i_0_1689,i_0_1705,i_0_1708,i_0_1713,i_0_1760,i_0_1761,i_0_1781,i_0_1786,i_0_1814,i_0_1965,i_0_1598,i_0_1856,i_0_1931,i_0_1932,i_0_1933,i_0_1936,i_0_1937,i_0_1938,i_0_1941,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1954,i_0_1958,i_0_1960,i_0_1961,i_0_1973,i_0_1975,i_0_1977,i_0_1981,i_0_1982,i_0_1983,i_0_1984,i_0_1988,i_0_1989,i_0_1085,i_0_1101,i_0_1102,i_0_1132,i_0_1160,i_0_1198,i_0_1199,i_0_1256,i_0_1281,i_0_1322,i_0_1323,i_0_1374,i_0_1375,i_0_1378,i_0_1427,i_0_1441,i_0_1442,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1469,i_0_1470,i_0_1472,i_0_1474,i_0_1476,i_0_1478,i_0_1494,i_0_1505,i_0_1506,i_0_1508,i_0_1519,i_0_1521,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1575,i_0_1577,i_0_1596,i_0_1611,i_0_1616,i_0_1617,i_0_1620,i_0_1628,i_0_1629,i_0_1651,i_0_1727,i_0_1731,i_0_1071,i_0_1106,i_0_1134,i_0_1290,i_0_1444,i_0_1487,i_0_1594,i_0_1622,i_0_1623,i_0_1655,i_0_1668,i_0_1670,i_0_1704,i_0_1707,i_0_1732,i_0_1734,i_0_1748,i_0_1787,i_0_1925,i_0_1926,i_0_1942,i_0_1957,i_0_1959,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1976,i_0_1978,i_0_1979,i_0_1985,i_0_989,i_0_1546,i_0_1282,i_0_1388,i_0_1417,i_0_1608,i_0_1667,i_0_1726,i_0_991,i_0_999,i_0_1001,i_0_1043,i_0_1068]) ).
cnf(i_0_2429,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2430,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_lessequals(c_Set_Ovimage(X2,X1,X4,X5),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Obij(X2,X4,X5) ),
inference(rename_variables,[],[i_0_1068]) ).
cnf(i_0_2431,plain,
c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4,X5) = c_Set_Oimage(X6,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4,X5),
inference(scs_inference,[],[i_0_2041,i_0_980]) ).
cnf(i_0_2432,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_2041]) ).
cnf(i_0_2433,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X1,X2,X3,X4,X5),X1,X4))
| c_Set_Oimage(X2,X1,X4,X5) = c_Set_Oimage(X3,X1,X4,X5) ),
inference(rename_variables,[],[i_0_980]) ).
cnf(i_0_2434,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5,X6),X7)),
inference(scs_inference,[],[i_0_2041,i_0_2125,i_0_980,i_0_1056]) ).
cnf(i_0_2435,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
inference(rename_variables,[],[i_0_2125]) ).
cnf(i_0_2436,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1056]) ).
cnf(i_0_2437,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X5),c_Set_Oimage(X2,X1,X3,X4)),X5,tc_fun(X4,tc_bool)),X4,X3),
inference(scs_inference,[],[i_0_2041,i_0_2125,i_0_2071,i_0_980,i_0_1056,i_0_1058]) ).
cnf(i_0_2438,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2071]) ).
cnf(i_0_2439,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_1058]) ).
cnf(i_0_2440,plain,
c_lessequals(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),c_Set_Ovimage(X1,X4,X3,X2),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1716,i_0_2041,i_0_2125,i_0_2071,i_0_980,i_0_1056,i_0_1058,i_0_1110]) ).
cnf(i_0_2441,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1110]) ).
cnf(i_0_2442,plain,
c_lessequals(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1716,i_0_2041,i_0_2125,i_0_2071,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112]) ).
cnf(i_0_2443,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1112]) ).
cnf(i_0_2444,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Finite__Set_Ofold__graph(X2,hAPP(X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X6,X7),X3)),
inference(scs_inference,[],[i_0_984,i_0_1716,i_0_2041,i_0_2125,i_0_2071,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121]) ).
cnf(i_0_2445,plain,
hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X2)),
inference(rename_variables,[],[i_0_984]) ).
cnf(i_0_2446,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_2447,plain,
c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X6),X6) = c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X6),
inference(scs_inference,[],[i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2125,i_0_2071,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150]) ).
cnf(i_0_2448,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
inference(rename_variables,[],[i_0_1150]) ).
cnf(i_0_2449,plain,
c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X2,X3,X4),X1,X5,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2125,i_0_2071,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182]) ).
cnf(i_0_2450,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_2451,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2125,i_0_2071,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188]) ).
cnf(i_0_2452,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2453,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1188]) ).
cnf(i_0_2454,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4)),X5),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2125,i_0_2071,i_0_2074,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231]) ).
cnf(i_0_2455,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2456,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1231]) ).
cnf(i_0_2457,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1)),X5),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232]) ).
cnf(i_0_2458,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2459,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1232]) ).
cnf(i_0_2460,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376]) ).
cnf(i_0_2461,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1376]) ).
cnf(i_0_2462,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X2,X3),X4),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_2138,i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385]) ).
cnf(i_0_2463,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1385]) ).
cnf(i_0_2464,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_2138,i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560]) ).
cnf(i_0_2465,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1560]) ).
cnf(i_0_2466,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,X3),
inference(scs_inference,[],[i_0_2138,i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561]) ).
cnf(i_0_2467,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(rename_variables,[],[i_0_1561]) ).
cnf(i_0_2468,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2138,i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599]) ).
cnf(i_0_2469,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1599]) ).
cnf(i_0_2470,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(c_Suc(X1)),X2,hAPP(c_Suc(c_Suc(X1)),X2),X3,X4),X1,tc_nat),
inference(scs_inference,[],[i_0_2138,i_0_2143,i_0_984,i_0_1716,i_0_2106,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705]) ).
cnf(i_0_2471,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(rename_variables,[],[i_0_2143]) ).
cnf(i_0_2472,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1705]) ).
cnf(i_0_2473,plain,
~ hBOOL(hAPP(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X3)),
inference(scs_inference,[],[i_0_2138,i_0_2143,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760]) ).
cnf(i_0_2474,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2475,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_1760]) ).
cnf(i_0_2476,plain,
~ hBOOL(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3)),
inference(scs_inference,[],[i_0_2138,i_0_2143,i_0_1715,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761]) ).
cnf(i_0_2477,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2478,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_1761]) ).
cnf(i_0_2479,plain,
~ class_Orderings_Otop(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
inference(scs_inference,[],[i_0_2147,i_0_2138,i_0_2143,i_0_1715,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781]) ).
cnf(i_0_2480,plain,
~ c_lessequals(c_Suc(X1),X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(rename_variables,[],[i_0_2147]) ).
cnf(i_0_2481,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(rename_variables,[],[i_0_1781]) ).
cnf(i_0_2482,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814]) ).
cnf(i_0_2483,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_1814]) ).
cnf(i_0_2484,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2074,i_0_2455,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591]) ).
cnf(i_0_2485,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_1591]) ).
cnf(i_0_2486,plain,
c_Set_Oimage(c_Fun_Ofun__upd(X1,v_x,X2,tc_Com_Opname,X3),c_HOL_Ominus__class_Ominus(X4,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname,X3) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname,X3),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2074,i_0_2455,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008]) ).
cnf(i_0_2487,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Set_Oimage(c_Fun_Ofun__upd(X4,X1,X5,X3,X6),X2,X3,X6) = c_Set_Oimage(X4,X2,X3,X6) ),
inference(rename_variables,[],[i_0_1008]) ).
cnf(i_0_2488,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2074,i_0_2455,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233]) ).
cnf(i_0_2489,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2071]) ).
cnf(i_0_2490,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1233]) ).
cnf(i_0_2491,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X2,tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234]) ).
cnf(i_0_2492,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2071]) ).
cnf(i_0_2493,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1234]) ).
cnf(i_0_2494,plain,
hBOOL(c_in(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653]) ).
cnf(i_0_2495,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_1653]) ).
cnf(i_0_2496,plain,
hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X6),X5)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089]) ).
cnf(i_0_2497,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2498,plain,
( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
| hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
inference(rename_variables,[],[i_0_1089]) ).
cnf(i_0_2499,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2113,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623]) ).
cnf(i_0_2500,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_2501,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(c_Suc(X1)))),tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2113,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688]) ).
cnf(i_0_2502,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
inference(rename_variables,[],[i_0_2113]) ).
cnf(i_0_2503,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1688]) ).
cnf(i_0_2504,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708]) ).
cnf(i_0_2505,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1708]) ).
cnf(i_0_2506,plain,
c_lessequals(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2236,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713]) ).
cnf(i_0_2507,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1713]) ).
cnf(i_0_2508,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X5,X6),X6)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2236,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005]) ).
cnf(i_0_2509,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_2041]) ).
cnf(i_0_2510,plain,
( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
| ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
inference(rename_variables,[],[i_0_1005]) ).
cnf(i_0_2511,plain,
~ c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2236,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622]) ).
cnf(i_0_2512,plain,
c_lessequals(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
inference(rename_variables,[],[i_0_2123]) ).
cnf(i_0_2513,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1622]) ).
cnf(i_0_2514,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2236,i_0_2282,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668]) ).
cnf(i_0_2515,plain,
~ c_lessequals(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X1,tc_nat),
inference(rename_variables,[],[i_0_2282]) ).
cnf(i_0_2516,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1668]) ).
cnf(i_0_2517,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2236,i_0_2282,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670]) ).
cnf(i_0_2518,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1670]) ).
cnf(i_0_2519,plain,
c_lessequals(X1,c_Suc(c_Suc(c_Suc(c_Suc(X1)))),tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685]) ).
cnf(i_0_2520,plain,
c_lessequals(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
inference(rename_variables,[],[i_0_2123]) ).
cnf(i_0_2521,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1685]) ).
cnf(i_0_2522,plain,
~ c_lessequals(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2)),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707]) ).
cnf(i_0_2523,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X1,tc_nat),
inference(rename_variables,[],[i_0_2319]) ).
cnf(i_0_2524,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1707]) ).
cnf(i_0_2525,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(X1)),X2),tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2224,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687]) ).
cnf(i_0_2526,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2224]) ).
cnf(i_0_2527,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1687]) ).
cnf(i_0_2528,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2224,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732]) ).
cnf(i_0_2529,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1732]) ).
cnf(i_0_2530,plain,
c_lessequals(X1,c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2224,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748]) ).
cnf(i_0_2531,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1748]) ).
cnf(i_0_2532,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2224,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704]) ).
cnf(i_0_2533,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1704]) ).
cnf(i_0_2534,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2)),tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2224,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734]) ).
cnf(i_0_2535,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X1,tc_nat),
inference(rename_variables,[],[i_0_2319]) ).
cnf(i_0_2536,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1734]) ).
cnf(i_0_2537,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2224,i_0_2195,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855]) ).
cnf(i_0_2538,plain,
~ c_Fun_Obij(X1,tc_bool,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2224,i_0_2195,i_0_2135,i_0_1762,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166]) ).
cnf(i_0_2539,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_2135]) ).
cnf(i_0_2540,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Obij(X1,X3,X4)
| c_Finite__Set_Ofinite(X2,X4) ),
inference(rename_variables,[],[i_0_1166]) ).
cnf(i_0_2541,plain,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2224,i_0_2195,i_0_2135,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241]) ).
cnf(i_0_2542,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2543,plain,
( ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| hBOOL(c_in(X1,X3,X4))
| X1 = X2 ),
inference(rename_variables,[],[i_0_1241]) ).
cnf(i_0_2544,plain,
~ c_lessequals(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2224,i_0_2195,i_0_2135,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440]) ).
cnf(i_0_2545,plain,
~ c_lessequals(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2138]) ).
cnf(i_0_2546,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2547,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1440]) ).
cnf(i_0_2548,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2262,i_0_2401,i_0_2317,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2224,i_0_2195,i_0_2135,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443]) ).
cnf(i_0_2549,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2262]) ).
cnf(i_0_2550,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1443]) ).
cnf(i_0_2551,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),X1,tc_nat),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2262,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2224,i_0_2195,i_0_2135,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563]) ).
cnf(i_0_2552,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2111]) ).
cnf(i_0_2553,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1563]) ).
cnf(i_0_2554,plain,
c_Fun_Oinj__on(c_Fun_Ofun__upd(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),X4,X5,X3,X1),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),X3,X1),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2262,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2224,i_0_2195,i_0_2135,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998]) ).
cnf(i_0_2555,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_2051]) ).
cnf(i_0_2556,plain,
( hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
| c_Fun_Oinj__on(c_Fun_Ofun__upd(X2,X6,X1,X4,X5),X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X5) ),
inference(rename_variables,[],[i_0_998]) ).
cnf(i_0_2557,plain,
~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),tc_bool),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2262,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109]) ).
cnf(i_0_2558,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_2135]) ).
cnf(i_0_2559,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| c_Finite__Set_Ofinite(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(rename_variables,[],[i_0_1109]) ).
cnf(i_0_2560,plain,
c_Fun_Oinj__on(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(tc_bool,tc_bool)),tc_bool,tc_bool),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118]) ).
cnf(i_0_2561,plain,
c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2094]) ).
cnf(i_0_2562,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_2135]) ).
cnf(i_0_2563,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X1,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Fun_Oinj__on(X2,X1,X3,X3) ),
inference(rename_variables,[],[i_0_1118]) ).
cnf(i_0_2564,plain,
c_Suc(X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621]) ).
cnf(i_0_2565,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),tc_nat),
inference(rename_variables,[],[i_0_2239]) ).
cnf(i_0_2566,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1621]) ).
cnf(i_0_2567,plain,
c_Suc(X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2074,i_0_2455,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672]) ).
cnf(i_0_2568,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),tc_nat),
inference(rename_variables,[],[i_0_2236]) ).
cnf(i_0_2569,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2570,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),v_U),c_Set_Oinsert(v_x,X1,tc_Com_Opname)),v_U,tc_fun(tc_Com_Opname,tc_bool)),X1,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2074,i_0_2455,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325]) ).
cnf(i_0_2571,plain,
~ hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(X1,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)),
inference(rename_variables,[],[i_0_2195]) ).
cnf(i_0_2572,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2071]) ).
cnf(i_0_2573,plain,
( hBOOL(c_in(X1,X2,X3))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1325]) ).
cnf(i_0_2574,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),v_U),X1),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2074,i_0_2455,i_0_2458,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124]) ).
cnf(i_0_2575,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2576,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_2577,plain,
~ c_lessequals(c_Finite__Set_Ofold__graph(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2074,i_0_2455,i_0_2458,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598]) ).
cnf(i_0_2578,plain,
hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X2)),
inference(rename_variables,[],[i_0_984]) ).
cnf(i_0_2579,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1598]) ).
cnf(i_0_2580,plain,
c_lessequals(hAPP(X1,v_x),c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v_U,X1,tc_Com_Opname,tc_fun(X3,tc_bool))),X4),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101]) ).
cnf(i_0_2581,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2582,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool))
| c_lessequals(hAPP(X4,X1),X6,tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1101]) ).
cnf(i_0_2583,plain,
~ c_lessequals(c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X2),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102]) ).
cnf(i_0_2584,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_2041]) ).
cnf(i_0_2585,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1102]) ).
cnf(i_0_2586,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Set_Oimage(X3,v_U,tc_Com_Opname,X1)),X2,tc_fun(X1,tc_bool)),X1),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160]) ).
cnf(i_0_2587,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2071]) ).
cnf(i_0_2588,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_1160]) ).
cnf(i_0_2589,plain,
c_lessequals(hAPP(X1,v_x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v_U,X1,tc_Com_Opname,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199]) ).
cnf(i_0_2590,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
inference(rename_variables,[],[i_0_1199]) ).
cnf(i_0_2591,plain,
c_lessequals(c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322]) ).
cnf(i_0_2592,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2593,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1322]) ).
cnf(i_0_2594,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(v_x,v_U,tc_Com_Opname),tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323]) ).
cnf(i_0_2595,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_2596,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1323]) ).
cnf(i_0_2597,plain,
~ c_lessequals(v_U,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374]) ).
cnf(i_0_2598,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_2041]) ).
cnf(i_0_2599,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1374]) ).
cnf(i_0_2600,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),c_COMBK(X4,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5),X3),X3,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)) = X4,
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378]) ).
cnf(i_0_2601,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
| ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
inference(rename_variables,[],[i_0_1378]) ).
cnf(i_0_2602,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),tc_bool),tc_bool) = c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427]) ).
cnf(i_0_2603,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2604,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_2135]) ).
cnf(i_0_2605,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1427]) ).
cnf(i_0_2606,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),X1),X3),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462]) ).
cnf(i_0_2607,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2378]) ).
cnf(i_0_2608,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1462]) ).
cnf(i_0_2609,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),X3),X1),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2317,i_0_2111,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464]) ).
cnf(i_0_2610,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2378]) ).
cnf(i_0_2611,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1464]) ).
cnf(i_0_2612,plain,
c_lessequals(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466]) ).
cnf(i_0_2613,plain,
c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2115]) ).
cnf(i_0_2614,plain,
( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1466]) ).
cnf(i_0_2615,plain,
c_lessequals(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468]) ).
cnf(i_0_2616,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_2108]) ).
cnf(i_0_2617,plain,
( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1468]) ).
cnf(i_0_2618,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X2),X3),X2,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472]) ).
cnf(i_0_2619,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2378]) ).
cnf(i_0_2620,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1472]) ).
cnf(i_0_2621,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X2),X3),X3,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474]) ).
cnf(i_0_2622,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2378]) ).
cnf(i_0_2623,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1474]) ).
cnf(i_0_2624,plain,
c_lessequals(c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,X2,X3),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505]) ).
cnf(i_0_2625,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2626,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X3),X1,X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_1505]) ).
cnf(i_0_2627,plain,
c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506]) ).
cnf(i_0_2628,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2629,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_1506]) ).
cnf(i_0_2630,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2)),X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522]) ).
cnf(i_0_2631,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2264]) ).
cnf(i_0_2632,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1522]) ).
cnf(i_0_2633,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X2),X1)),X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523]) ).
cnf(i_0_2634,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2264]) ).
cnf(i_0_2635,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1523]) ).
cnf(i_0_2636,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),X4,X5),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525]) ).
cnf(i_0_2637,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(rename_variables,[],[i_0_2143]) ).
cnf(i_0_2638,plain,
( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1525]) ).
cnf(i_0_2639,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),X4,X5),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527]) ).
cnf(i_0_2640,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(rename_variables,[],[i_0_2143]) ).
cnf(i_0_2641,plain,
( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1527]) ).
cnf(i_0_2642,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3),X4,X5),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528]) ).
cnf(i_0_2643,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(rename_variables,[],[i_0_2143]) ).
cnf(i_0_2644,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1528]) ).
cnf(i_0_2645,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3),X4,X5),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529]) ).
cnf(i_0_2646,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(rename_variables,[],[i_0_2143]) ).
cnf(i_0_2647,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1529]) ).
cnf(i_0_2648,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3)),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531]) ).
cnf(i_0_2649,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X1,tc_nat),
inference(rename_variables,[],[i_0_2319]) ).
cnf(i_0_2650,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1531]) ).
cnf(i_0_2651,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533]) ).
cnf(i_0_2652,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_2120]) ).
cnf(i_0_2653,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1533]) ).
cnf(i_0_2654,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2652,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534]) ).
cnf(i_0_2655,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_2120]) ).
cnf(i_0_2656,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1534]) ).
cnf(i_0_2657,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535]) ).
cnf(i_0_2658,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_2120]) ).
cnf(i_0_2659,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1535]) ).
cnf(i_0_2660,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541]) ).
cnf(i_0_2661,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2071]) ).
cnf(i_0_2662,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2663,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_1541]) ).
cnf(i_0_2664,plain,
~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(hAPP(X1,X2))),X1,tc_fun(X3,tc_nat)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546]) ).
cnf(i_0_2665,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
| ~ c_lessequals(X1,X3,tc_fun(X5,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1546]) ).
cnf(i_0_2666,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596]) ).
cnf(i_0_2667,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2262]) ).
cnf(i_0_2668,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2669,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(rename_variables,[],[i_0_1596]) ).
cnf(i_0_2670,plain,
hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4)),X5),X1,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4)),X5),X7)) = X7,
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628]) ).
cnf(i_0_2671,plain,
hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4))) = hAPP(X1,X4),
inference(rename_variables,[],[i_0_2046]) ).
cnf(i_0_2672,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
| X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(rename_variables,[],[i_0_1628]) ).
cnf(i_0_2673,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,X1,X3,X4)),X5),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198]) ).
cnf(i_0_2674,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2080]) ).
cnf(i_0_2675,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_1198]) ).
cnf(i_0_2676,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,v_U,tc_Com_Opname),c_Set_Oinsert(v_x,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281]) ).
cnf(i_0_2677,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_2678,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1281]) ).
cnf(i_0_2679,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375]) ).
cnf(i_0_2680,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_2041]) ).
cnf(i_0_2681,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1375]) ).
cnf(i_0_2682,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2242,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476]) ).
cnf(i_0_2683,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2242]) ).
cnf(i_0_2684,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1476]) ).
cnf(i_0_2685,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478]) ).
cnf(i_0_2686,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2242]) ).
cnf(i_0_2687,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1478]) ).
cnf(i_0_2688,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_bool),tc_bool),tc_bool) = c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_bool),tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494]) ).
cnf(i_0_2689,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_2041]) ).
cnf(i_0_2690,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_2135]) ).
cnf(i_0_2691,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1494]) ).
cnf(i_0_2692,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519]) ).
cnf(i_0_2693,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2264]) ).
cnf(i_0_2694,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_2695,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1)),X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521]) ).
cnf(i_0_2696,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2264]) ).
cnf(i_0_2697,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1521]) ).
cnf(i_0_2698,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616]) ).
cnf(i_0_2699,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1616]) ).
cnf(i_0_2700,plain,
X1 = c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),tc_nat),X3,X5)),X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),tc_nat),X3,X5)),X6),X1),X2,X7),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629]) ).
cnf(i_0_2701,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X1,hAPP(X1,X2),X3,X4)),
inference(rename_variables,[],[i_0_2037]) ).
cnf(i_0_2702,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
| X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_2703,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),X2),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442]) ).
cnf(i_0_2704,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2705,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1442]) ).
cnf(i_0_2706,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469]) ).
cnf(i_0_2707,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2111]) ).
cnf(i_0_2708,plain,
( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1469]) ).
cnf(i_0_2709,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1))),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470]) ).
cnf(i_0_2710,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2111]) ).
cnf(i_0_2711,plain,
( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1470]) ).
cnf(i_0_2712,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508]) ).
cnf(i_0_2713,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1508]) ).
cnf(i_0_2714,plain,
~ c_lessequals(c_Suc(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a))),v_G,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575]) ).
cnf(i_0_2715,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_2108]) ).
cnf(i_0_2716,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1575]) ).
cnf(i_0_2717,plain,
~ c_HOL_Oord__class_Oless(c_Fun_Ofun__upd(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1,hAPP(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X2,X3),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617]) ).
cnf(i_0_2718,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1617]) ).
cnf(i_0_2719,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),X1),v_U),X1,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651]) ).
cnf(i_0_2720,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2071]) ).
cnf(i_0_2721,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1651]) ).
cnf(i_0_2722,plain,
c_lessequals(X1,c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727]) ).
cnf(i_0_2723,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_2724,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),v_G,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620]) ).
cnf(i_0_2725,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1620]) ).
cnf(i_0_2726,plain,
~ c_HOL_Oord__class_Oless(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(hAPP(X1,X2))),X1,tc_fun(X3,tc_nat)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577]) ).
cnf(i_0_2727,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1577]) ).
cnf(i_0_2728,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1),c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731]) ).
cnf(i_0_2729,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1731]) ).
cnf(i_0_2730,plain,
hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)) != hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965]) ).
cnf(i_0_2731,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))),
inference(rename_variables,[],[i_0_1090]) ).
cnf(i_0_2732,plain,
c_in(v_x,v_U,tc_Com_Opname) != c_HOL_Ominus__class_Ominus(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856]) ).
cnf(i_0_2733,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2734,plain,
~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925]) ).
cnf(i_0_2735,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2736,plain,
~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_2147,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926]) ).
cnf(i_0_2737,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2738,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X1,c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_2147,i_0_2480,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931]) ).
cnf(i_0_2739,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2740,plain,
~ c_lessequals(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),v_G,c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932]) ).
cnf(i_0_2741,plain,
~ c_lessequals(c_Suc(X1),X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(rename_variables,[],[i_0_2147]) ).
cnf(i_0_2742,plain,
~ c_lessequals(c_Suc(X1),X1,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933]) ).
cnf(i_0_2743,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2744,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938]) ).
cnf(i_0_2745,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2746,plain,
class_Complete__Lattice_Ocomplete__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941]) ).
cnf(i_0_2747,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2748,plain,
class_Ring__and__Field_Osemiring(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942]) ).
cnf(i_0_2749,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2750,plain,
class_Orderings_Olinorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957]) ).
cnf(i_0_2751,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2752,plain,
class_Lattices_Olattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958]) ).
cnf(i_0_2753,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2754,plain,
class_Ring__and__Field_Ocomm__semiring__1(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959]) ).
cnf(i_0_2755,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2756,plain,
class_Lattices_Odistrib__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961]) ).
cnf(i_0_2757,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2758,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962]) ).
cnf(i_0_2759,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2760,plain,
class_Ring__and__Field_Ocomm__semiring(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967]) ).
cnf(i_0_2761,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2762,plain,
class_OrderedGroup_Opordered__ab__semigroup__add(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970]) ).
cnf(i_0_2763,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2764,plain,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971]) ).
cnf(i_0_2765,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2766,plain,
class_OrderedGroup_Oab__semigroup__add(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972]) ).
cnf(i_0_2767,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2768,plain,
class_HOL_Oord(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973]) ).
cnf(i_0_2769,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2770,plain,
class_HOL_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975]) ).
cnf(i_0_2771,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2772,plain,
class_OrderedGroup_Ocomm__monoid__add(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976]) ).
cnf(i_0_2773,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2774,plain,
class_OrderedGroup_Ocancel__semigroup__add(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978]) ).
cnf(i_0_2775,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2776,plain,
class_OrderedGroup_Ocancel__ab__semigroup__add(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979]) ).
cnf(i_0_2777,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2778,plain,
class_Lattices_Obounded__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2169,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981]) ).
cnf(i_0_2779,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2780,plain,
class_Orderings_Obot(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983]) ).
cnf(i_0_2781,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2782,plain,
class_Finite__Set_Ofinite_Ofinite(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984]) ).
cnf(i_0_2783,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2784,plain,
class_OrderedGroup_Oab__semigroup__mult(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985]) ).
cnf(i_0_2785,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2786,plain,
class_Lattices_Oupper__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988]) ).
cnf(i_0_2787,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2788,plain,
class_Lattices_Olower__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2165,i_0_2166,i_0_2167,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989]) ).
cnf(i_0_2789,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2790,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960]) ).
cnf(i_0_2791,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2792,plain,
class_Orderings_Opreorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977]) ).
cnf(i_0_2793,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2794,plain,
~ c_HOL_Oord__class_Oless(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936]) ).
cnf(i_0_2795,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(rename_variables,[],[i_0_2153]) ).
cnf(i_0_2796,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937]) ).
cnf(i_0_2797,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(rename_variables,[],[i_0_2153]) ).
cnf(i_0_2798,plain,
~ c_Complete__Lattice_Ocomplete__lattice(v_G,X1,X2,X3,X4,X5,X6,c_Fun_Ofun__upd(c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,hAPP(c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8),X9,X10),X7),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2160,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946]) ).
cnf(i_0_2799,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_Fun_Ofun__upd(c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X9,hAPP(c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X9),X10,X11),X8),
inference(rename_variables,[],[i_0_2160]) ).
cnf(i_0_2800,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Fun_Ofun__upd(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_bool)))),X7,hAPP(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_bool)))),X7),X8,X9),X10,v_G),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2160,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954]) ).
cnf(i_0_2801,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Fun_Ofun__upd(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,hAPP(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8),X9,X10),X11,X7),
inference(rename_variables,[],[i_0_2158]) ).
cnf(i_0_2802,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,v_G,X2,X3,X4,X5,c_Fun_Ofun__upd(c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)))),X7,hAPP(c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)))),X7),X8,X9),X10,X6),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2160,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947]) ).
cnf(i_0_2803,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Fun_Ofun__upd(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,hAPP(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8),X9,X10),X11,X7),
inference(rename_variables,[],[i_0_2158]) ).
cnf(i_0_2804,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X9,hAPP(c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X9),X10,X11),c_Orderings_Obot__class_Obot(tc_fun(X12,tc_bool)),tc_fun(X12,tc_bool)),X8),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953]) ).
cnf(i_0_2805,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2806,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,hAPP(c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8),X9,X10),c_Orderings_Obot__class_Obot(tc_fun(X11,tc_bool)),tc_fun(X11,tc_bool)),X12,X7),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952]) ).
cnf(i_0_2807,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2808,plain,
c_lessequals(c_The(c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X2,c_Set_Oinsert(X3,X4,X5),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X3),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982]) ).
cnf(i_0_2809,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2810,plain,
class_Lattices_Olower__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(rename_variables,[],[i_0_2174]) ).
cnf(i_0_2811,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_The(c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(X3),X4,X2,X3,X3),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_982]) ).
cnf(i_0_2812,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X2),X3),c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X3,c_Set_Oinsert(X2,X4,X5),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983]) ).
cnf(i_0_2813,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2814,plain,
class_Lattices_Oupper__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(rename_variables,[],[i_0_2173]) ).
cnf(i_0_2815,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(X3),X4,X2,X3,X3),X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_983]) ).
cnf(i_0_2816,plain,
c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),c_Set_Oinsert(X2,X3,X4)),X2,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394]) ).
cnf(i_0_2817,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2818,plain,
class_Lattices_Olower__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(rename_variables,[],[i_0_2174]) ).
cnf(i_0_2819,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X3),X3),X2),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1394]) ).
cnf(i_0_2820,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a))),v_G,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557]) ).
cnf(i_0_2821,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2111]) ).
cnf(i_0_2822,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1557]) ).
cnf(i_0_2823,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X1),c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071]) ).
cnf(i_0_2824,plain,
~ hBOOL(c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1)),
inference(rename_variables,[],[i_0_2017]) ).
cnf(i_0_2825,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(rename_variables,[],[i_0_2106]) ).
cnf(i_0_2826,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_2827,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1071]) ).
cnf(i_0_2828,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v_x,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106]) ).
cnf(i_0_2829,plain,
~ hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(X1,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)),
inference(rename_variables,[],[i_0_2195]) ).
cnf(i_0_2830,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2262]) ).
cnf(i_0_2831,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_2832,plain,
c_Finite__Set_Osetsum(X1,c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_bool),tc_bool,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4)),hAPP(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),c_Finite__Set_Osetsum(X1,hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_bool,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134]) ).
cnf(i_0_2833,plain,
~ hBOOL(c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1)),
inference(rename_variables,[],[i_0_2017]) ).
cnf(i_0_2834,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_2135]) ).
cnf(i_0_2835,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Osetsum(X4,c_Set_Oinsert(X1,X2,X3),X3,X5) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(X4,X1)),c_Finite__Set_Osetsum(X4,X2,X3,X5))
| ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1134]) ).
cnf(i_0_2836,plain,
c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282]) ).
cnf(i_0_2837,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2838,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2839,plain,
( hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_2840,plain,
c_HOL_Oord__class_Oless(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290]) ).
cnf(i_0_2841,plain,
~ hBOOL(c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1)),
inference(rename_variables,[],[i_0_2017]) ).
cnf(i_0_2842,plain,
~ hBOOL(c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1)),
inference(rename_variables,[],[i_0_2017]) ).
cnf(i_0_2843,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1766]) ).
cnf(i_0_2844,plain,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1290]) ).
cnf(i_0_2845,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594]) ).
cnf(i_0_2846,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1594]) ).
cnf(i_0_2847,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235]) ).
cnf(i_0_2848,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1720]) ).
cnf(i_0_2849,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(rename_variables,[],[i_0_2164]) ).
cnf(i_0_2850,plain,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_lessequals(X2,X5,X3)
| ~ c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1235]) ).
cnf(i_0_2851,plain,
~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),tc_fun(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197]) ).
cnf(i_0_2852,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_2853,plain,
~ c_Fun_Obij(X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200]) ).
cnf(i_0_2854,plain,
( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),X3,X1)
| ~ c_Fun_Obij(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1200]) ).
cnf(i_0_2855,plain,
c_lessequals(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654]) ).
cnf(i_0_2856,plain,
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1654]) ).
cnf(i_0_2857,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786]) ).
cnf(i_0_2858,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1786]) ).
cnf(i_0_2859,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(c_Suc(X1))),X2),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655]) ).
cnf(i_0_2860,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1655]) ).
cnf(i_0_2861,plain,
~ c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928]) ).
cnf(i_0_2862,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2863,plain,
~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),tc_bool),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929]) ).
cnf(i_0_2864,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2865,plain,
~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930]) ).
cnf(i_0_2866,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2867,plain,
~ c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool)),X4,c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944]) ).
cnf(i_0_2868,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2869,plain,
~ c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool)),X4,c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool),tc_bool,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945]) ).
cnf(i_0_2870,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2871,plain,
( ~ c_Fun_Obij(X1,X2,X3)
| c_lessequals(X4,c_Set_Oimage(X1,c_Set_Oinsert(X5,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Set_Ovimage(X1,X4,X2,X3)),X6),X2),X2,X3),tc_fun(X3,tc_bool)) ),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069]) ).
cnf(i_0_2872,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2074]) ).
cnf(i_0_2873,plain,
( ~ c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Obij(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1069]) ).
cnf(i_0_2874,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),v_U),c_Set_Oimage(X1,v_U,tc_Com_Opname,tc_Com_Opname)),tc_Com_Opname),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484]) ).
cnf(i_0_2875,plain,
( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1484]) ).
cnf(i_0_2876,plain,
~ c_lessequals(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),X1,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615]) ).
cnf(i_0_2877,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1615]) ).
cnf(i_0_2878,plain,
~ c_lessequals(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),X2,tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615,i_0_1618]) ).
cnf(i_0_2879,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1618]) ).
cnf(i_0_2880,plain,
~ c_Fun_Obij(c_HOL_Ominus__class_Ominus(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool)),X4,c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_2870,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615,i_0_1618,i_0_1943]) ).
cnf(i_0_2881,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_2882,plain,
( ~ c_lessequals(c_Suc(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool))
| c_Suc(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_2870,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1818,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615,i_0_1618,i_0_1943,i_0_1272]) ).
cnf(i_0_2883,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_2884,plain,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1272]) ).
cnf(i_0_2885,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = c_ATP__Linkup_Osko__Set__XimageE__1__1(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4,X5) ),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_2870,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2039,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1818,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615,i_0_1618,i_0_1943,i_0_1272,i_0_1382]) ).
cnf(i_0_2886,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__XimageE__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),hAPP(X1,X2),X1,X3,X4)),
inference(rename_variables,[],[i_0_2039]) ).
cnf(i_0_2887,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) = X5
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(rename_variables,[],[i_0_1382]) ).
cnf(i_0_2888,plain,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2) = X1
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),X1,tc_nat) ),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_2870,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2039,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2526,i_0_2242,i_0_2683,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1818,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615,i_0_1618,i_0_1943,i_0_1272,i_0_1382,i_0_1630]) ).
cnf(i_0_2889,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| X2 = X1 ),
inference(rename_variables,[],[i_0_1630]) ).
cnf(i_0_2890,plain,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Suc(X1)),X2),X1,tc_nat)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Suc(X1)),X2) = c_Suc(X1) ),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_2870,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2039,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2526,i_0_2242,i_0_2683,i_0_2686,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1818,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615,i_0_1618,i_0_1943,i_0_1272,i_0_1382,i_0_1630,i_0_1659]) ).
cnf(i_0_2891,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2242]) ).
cnf(i_0_2892,plain,
( ~ c_lessequals(X1,c_Suc(X2),tc_nat)
| X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1659]) ).
cnf(i_0_2893,plain,
( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2) = X2
| c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat) ),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2137,i_0_1817,i_0_1545,i_0_2158,i_0_2801,i_0_2803,i_0_2160,i_0_2799,i_0_2147,i_0_2480,i_0_2741,i_0_2153,i_0_2795,i_0_2155,i_0_2163,i_0_2164,i_0_2165,i_0_2166,i_0_2167,i_0_2168,i_0_2169,i_0_2171,i_0_2172,i_0_2173,i_0_2174,i_0_2810,i_0_2384,i_0_2385,i_0_2386,i_0_2387,i_0_2388,i_0_2389,i_0_2390,i_0_2391,i_0_2392,i_0_2393,i_0_2394,i_0_2395,i_0_2017,i_0_2824,i_0_2833,i_0_2382,i_0_2138,i_0_2145,i_0_2151,i_0_2143,i_0_2471,i_0_2637,i_0_2640,i_0_2643,i_0_1852,i_0_1850,i_0_1715,i_0_2477,i_0_2733,i_0_2735,i_0_2737,i_0_2739,i_0_2743,i_0_2745,i_0_2805,i_0_2807,i_0_2862,i_0_2864,i_0_2866,i_0_2868,i_0_2870,i_0_1090,i_0_1719,i_0_984,i_0_2445,i_0_1716,i_0_2452,i_0_2546,i_0_2592,i_0_2662,i_0_2668,i_0_2051,i_0_2555,i_0_2106,i_0_2497,i_0_2603,i_0_2625,i_0_2628,i_0_2809,i_0_2813,i_0_2817,i_0_2046,i_0_2037,i_0_2039,i_0_2066,i_0_2474,i_0_2747,i_0_2749,i_0_2751,i_0_2753,i_0_2755,i_0_2757,i_0_2759,i_0_2761,i_0_2763,i_0_2765,i_0_2767,i_0_2769,i_0_2771,i_0_2773,i_0_2775,i_0_2777,i_0_2779,i_0_2781,i_0_2783,i_0_2785,i_0_2787,i_0_2789,i_0_2791,i_0_2041,i_0_2432,i_0_2509,i_0_2584,i_0_2598,i_0_2680,i_0_2125,i_0_2435,i_0_2378,i_0_2607,i_0_2610,i_0_2619,i_0_2622,i_0_2071,i_0_2438,i_0_2489,i_0_2492,i_0_2572,i_0_2587,i_0_2661,i_0_2080,i_0_2074,i_0_2455,i_0_2458,i_0_2575,i_0_2581,i_0_2704,i_0_2104,i_0_2262,i_0_2549,i_0_2667,i_0_2094,i_0_2401,i_0_2218,i_0_2595,i_0_2677,i_0_2399,i_0_2108,i_0_2616,i_0_2120,i_0_2652,i_0_2655,i_0_2317,i_0_2111,i_0_2552,i_0_2707,i_0_2710,i_0_2115,i_0_2113,i_0_2123,i_0_2512,i_0_2236,i_0_2239,i_0_2565,i_0_2282,i_0_2515,i_0_2319,i_0_2523,i_0_2535,i_0_2405,i_0_2374,i_0_2408,i_0_2224,i_0_2526,i_0_2242,i_0_2683,i_0_2686,i_0_2264,i_0_2631,i_0_2634,i_0_2693,i_0_2195,i_0_2571,i_0_2356,i_0_2135,i_0_2539,i_0_2558,i_0_2562,i_0_2604,i_0_2690,i_0_2413,i_0_1762,i_0_1720,i_0_1766,i_0_1818,i_0_1838,i_0_1410,i_0_2542,i_0_1839,i_0_1843,i_0_1845,i_0_1847,i_0_980,i_0_1056,i_0_1058,i_0_1110,i_0_1112,i_0_1121,i_0_1150,i_0_1182,i_0_1188,i_0_1231,i_0_1232,i_0_1376,i_0_1385,i_0_1560,i_0_1561,i_0_1599,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1814,i_0_1591,i_0_1008,i_0_1233,i_0_1234,i_0_1653,i_0_1089,i_0_1623,i_0_1688,i_0_1708,i_0_1713,i_0_1005,i_0_1622,i_0_1668,i_0_1670,i_0_1685,i_0_1707,i_0_1687,i_0_1732,i_0_1748,i_0_1704,i_0_1734,i_0_1855,i_0_1166,i_0_1241,i_0_1440,i_0_1443,i_0_1563,i_0_998,i_0_1109,i_0_1118,i_0_1621,i_0_1672,i_0_1325,i_0_1124,i_0_1598,i_0_1101,i_0_1102,i_0_1160,i_0_1199,i_0_1322,i_0_1323,i_0_1374,i_0_1378,i_0_1427,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1522,i_0_1523,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1546,i_0_1596,i_0_1628,i_0_1198,i_0_1281,i_0_1375,i_0_1476,i_0_1478,i_0_1494,i_0_1519,i_0_1521,i_0_1616,i_0_1629,i_0_1442,i_0_1469,i_0_1470,i_0_1508,i_0_1575,i_0_1617,i_0_1651,i_0_1727,i_0_1620,i_0_1577,i_0_1731,i_0_1965,i_0_1856,i_0_1925,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1960,i_0_1977,i_0_1936,i_0_1937,i_0_1946,i_0_1954,i_0_1947,i_0_1953,i_0_1952,i_0_982,i_0_983,i_0_1394,i_0_1557,i_0_1071,i_0_1106,i_0_1134,i_0_1282,i_0_1290,i_0_1594,i_0_1235,i_0_1197,i_0_1200,i_0_1654,i_0_1786,i_0_1655,i_0_1928,i_0_1929,i_0_1930,i_0_1944,i_0_1945,i_0_1069,i_0_1484,i_0_1615,i_0_1618,i_0_1943,i_0_1272,i_0_1382,i_0_1630,i_0_1659,i_0_1673]) ).
cnf(i_0_2894,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X2 = X1 ),
inference(rename_variables,[],[i_0_1673]) ).
cnf(i_0_2895,plain,
~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),tc_bool)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),tc_fun(c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),tc_bool)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),
inference(scs_inference,[],[i_0_2851,i_0_1197]) ).
cnf(i_0_2896,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_2897,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_2851,i_0_2615,i_0_1197,i_0_1654]) ).
cnf(i_0_2898,plain,
c_lessequals(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),tc_nat),
inference(rename_variables,[],[i_0_2615]) ).
cnf(i_0_2899,plain,
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1654]) ).
cnf(i_0_2900,plain,
c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5,X6) = c_Set_Oimage(X7,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5,X6),
inference(scs_inference,[],[i_0_2484,i_0_2851,i_0_2615,i_0_1197,i_0_1654,i_0_980]) ).
cnf(i_0_2901,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_2902,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X1,X2,X3,X4,X5),X1,X4))
| c_Set_Oimage(X2,X1,X4,X5) = c_Set_Oimage(X3,X1,X4,X5) ),
inference(rename_variables,[],[i_0_980]) ).
cnf(i_0_2903,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X6,X7),X8,X9),X10)),
inference(scs_inference,[],[i_0_2484,i_0_2434,i_0_2851,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056]) ).
cnf(i_0_2904,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5,X6),X7)),
inference(rename_variables,[],[i_0_2434]) ).
cnf(i_0_2905,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1056]) ).
cnf(i_0_2906,plain,
c_lessequals(c_Set_Ovimage(X1,c_Set_Oinsert(v_x,v_U,tc_Com_Opname),X2,tc_Com_Opname),c_Set_Ovimage(X1,v_U,X2,tc_Com_Opname),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2434,i_0_2201,i_0_2851,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110]) ).
cnf(i_0_2907,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1110]) ).
cnf(i_0_2908,plain,
c_lessequals(c_Set_Oimage(X1,c_Set_Oinsert(v_x,v_U,tc_Com_Opname),tc_Com_Opname,X2),c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2434,i_0_2201,i_0_2851,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112]) ).
cnf(i_0_2909,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1112]) ).
cnf(i_0_2910,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,hAPP(X1,X3)),X4,X5),X6,X7),X8,X9),X3)),
inference(scs_inference,[],[i_0_2484,i_0_2061,i_0_2434,i_0_2201,i_0_2851,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121]) ).
cnf(i_0_2911,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(rename_variables,[],[i_0_2061]) ).
cnf(i_0_2912,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_2913,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_fun(tc_Com_Opname,tc_bool)),X1,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2061,i_0_2434,i_0_2201,i_0_2574,i_0_2851,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188]) ).
cnf(i_0_2914,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1188]) ).
cnf(i_0_2915,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X5)),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2061,i_0_2434,i_0_2201,i_0_2574,i_0_2851,i_0_2077,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231]) ).
cnf(i_0_2916,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2077]) ).
cnf(i_0_2917,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1231]) ).
cnf(i_0_2918,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X1)),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2061,i_0_2434,i_0_2201,i_0_2574,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232]) ).
cnf(i_0_2919,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2077]) ).
cnf(i_0_2920,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1232]) ).
cnf(i_0_2921,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(c_Suc(X2))),X2,tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2574,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705]) ).
cnf(i_0_2922,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_2923,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1705]) ).
cnf(i_0_2924,plain,
~ hBOOL(hAPP(c_ATP__Linkup_Osko__Set__XimageE__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1,X4),X5)),
inference(scs_inference,[],[i_0_2484,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760]) ).
cnf(i_0_2925,plain,
X1 = c_ATP__Linkup_Osko__Set__XimageE__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2,X4),
inference(rename_variables,[],[i_0_2323]) ).
cnf(i_0_2926,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_1760]) ).
cnf(i_0_2927,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))),X5)),
inference(scs_inference,[],[i_0_2484,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761]) ).
cnf(i_0_2928,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_2929,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_1761]) ).
cnf(i_0_2930,plain,
~ class_Orderings_Otop(c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),
inference(scs_inference,[],[i_0_2484,i_0_2742,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781]) ).
cnf(i_0_2931,plain,
~ c_lessequals(c_Suc(X1),X1,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(rename_variables,[],[i_0_2742]) ).
cnf(i_0_2932,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(rename_variables,[],[i_0_1781]) ).
cnf(i_0_2933,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,X1,X3,X4)),X6)),X5,tc_fun(X4,tc_bool)),X4,X3),
inference(scs_inference,[],[i_0_2484,i_0_2742,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058]) ).
cnf(i_0_2934,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2488]) ).
cnf(i_0_2935,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_1058]) ).
cnf(i_0_2936,plain,
c_Set_Oinsert(hAPP(X1,hAPP(X2,X3)),c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X5,X6),X6) = c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X5,X6),
inference(scs_inference,[],[i_0_2484,i_0_2742,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150]) ).
cnf(i_0_2937,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
inference(rename_variables,[],[i_0_1150]) ).
cnf(i_0_2938,plain,
c_lessequals(hAPP(X1,hAPP(X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X1,X5,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2742,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182]) ).
cnf(i_0_2939,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_2940,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X6),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2742,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376]) ).
cnf(i_0_2941,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1376]) ).
cnf(i_0_2942,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Finite__Set_Ofold__graph(X2,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385]) ).
cnf(i_0_2943,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1385]) ).
cnf(i_0_2944,plain,
c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4) = c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561]) ).
cnf(i_0_2945,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(rename_variables,[],[i_0_1561]) ).
cnf(i_0_2946,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814]) ).
cnf(i_0_2947,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_1814]) ).
cnf(i_0_2948,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X5,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233]) ).
cnf(i_0_2949,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2083]) ).
cnf(i_0_2950,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1233]) ).
cnf(i_0_2951,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X5,tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234]) ).
cnf(i_0_2952,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2083]) ).
cnf(i_0_2953,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1234]) ).
cnf(i_0_2954,plain,
hBOOL(c_in(X1,c_Finite__Set_Ofold__graph(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2434,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653]) ).
cnf(i_0_2955,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_1653]) ).
cnf(i_0_2956,plain,
~ hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X6,X7),X8)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591]) ).
cnf(i_0_2957,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_1591]) ).
cnf(i_0_2958,plain,
c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),c_Set_Oimage(X6,c_Set_Oimage(X7,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8,X9),X9,X4),X4,X5) = c_Set_Oimage(X1,c_Set_Oimage(X6,c_Set_Oimage(X7,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8,X9),X9,X4),X4,X5),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008]) ).
cnf(i_0_2959,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Set_Oimage(c_Fun_Ofun__upd(X4,X1,X5,X3,X6),X2,X3,X6) = c_Set_Oimage(X4,X2,X3,X6) ),
inference(rename_variables,[],[i_0_1008]) ).
cnf(i_0_2960,plain,
hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X5,X4),X5)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089]) ).
cnf(i_0_2961,plain,
( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
| hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
inference(rename_variables,[],[i_0_1089]) ).
cnf(i_0_2962,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X6,X7),X7)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005]) ).
cnf(i_0_2963,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_2964,plain,
( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
| ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
inference(rename_variables,[],[i_0_1005]) ).
cnf(i_0_2965,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(X1))))),X1,tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2504,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708]) ).
cnf(i_0_2966,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat),
inference(rename_variables,[],[i_0_2504]) ).
cnf(i_0_2967,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1708]) ).
cnf(i_0_2968,plain,
c_lessequals(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1))),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2504,i_0_2709,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713]) ).
cnf(i_0_2969,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1713]) ).
cnf(i_0_2970,plain,
~ c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(X1))))),X1,tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2504,i_0_2519,i_0_2709,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622]) ).
cnf(i_0_2971,plain,
c_lessequals(X1,c_Suc(c_Suc(c_Suc(c_Suc(X1)))),tc_nat),
inference(rename_variables,[],[i_0_2519]) ).
cnf(i_0_2972,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1622]) ).
cnf(i_0_2973,plain,
~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2)),X1,tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2504,i_0_2519,i_0_2551,i_0_2709,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670]) ).
cnf(i_0_2974,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),X1,tc_nat),
inference(rename_variables,[],[i_0_2551]) ).
cnf(i_0_2975,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1670]) ).
cnf(i_0_2976,plain,
c_lessequals(X1,c_Fun_Ofun__upd(c_Suc(c_Suc(X1)),X2,hAPP(c_Suc(c_Suc(X1)),X2),X3,X4),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2504,i_0_2519,i_0_2551,i_0_2709,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685]) ).
cnf(i_0_2977,plain,
c_lessequals(X1,c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),tc_nat),
inference(rename_variables,[],[i_0_2530]) ).
cnf(i_0_2978,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1685]) ).
cnf(i_0_2979,plain,
~ c_HOL_Oord__class_Oless(c_Finite__Set_Ofold__graph(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2504,i_0_2519,i_0_2551,i_0_2709,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599]) ).
cnf(i_0_2980,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1599]) ).
cnf(i_0_2981,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(c_Suc(X1))),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2504,i_0_2519,i_0_2551,i_0_2709,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688]) ).
cnf(i_0_2982,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2374]) ).
cnf(i_0_2983,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1688]) ).
cnf(i_0_2984,plain,
c_lessequals(v_G,c_Suc(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a))),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2504,i_0_2519,i_0_2551,i_0_2709,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748]) ).
cnf(i_0_2985,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1748]) ).
cnf(i_0_2986,plain,
~ c_lessequals(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2))),X2,tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2504,i_0_2519,i_0_2551,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668]) ).
cnf(i_0_2987,plain,
~ c_lessequals(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),X2,tc_nat),
inference(rename_variables,[],[i_0_2878]) ).
cnf(i_0_2988,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1668]) ).
cnf(i_0_2989,plain,
~ c_lessequals(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2))),X1,tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2504,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707]) ).
cnf(i_0_2990,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),X1,tc_nat),
inference(rename_variables,[],[i_0_2551]) ).
cnf(i_0_2991,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1707]) ).
cnf(i_0_2992,plain,
c_HOL_Oord__class_Oless(X1,c_Fun_Ofun__upd(c_Suc(c_Suc(X1)),X2,hAPP(c_Suc(c_Suc(X1)),X2),X3,X4),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687]) ).
cnf(i_0_2993,plain,
c_lessequals(X1,c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),tc_nat),
inference(rename_variables,[],[i_0_2530]) ).
cnf(i_0_2994,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1687]) ).
cnf(i_0_2995,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(X1))))),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734]) ).
cnf(i_0_2996,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat),
inference(rename_variables,[],[i_0_2504]) ).
cnf(i_0_2997,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1734]) ).
cnf(i_0_2998,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1))),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655]) ).
cnf(i_0_2999,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1))),tc_nat),
inference(rename_variables,[],[i_0_2709]) ).
cnf(i_0_3000,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1655]) ).
cnf(i_0_3001,plain,
X1 = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X2,tc_bool))),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855]) ).
cnf(i_0_3002,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),X5,X6,X7,X8,X9,X10),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951]) ).
cnf(i_0_3003,plain,
hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X6),X5)),
inference(rename_variables,[],[i_0_2496]) ).
cnf(i_0_3004,plain,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
inference(rename_variables,[],[i_0_951]) ).
cnf(i_0_3005,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6,tc_fun(X3,tc_bool))),X8,X9,X10,X11,X12,X13),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948]) ).
cnf(i_0_3006,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3007,plain,
~ c_lessequals(c_Finite__Set_Ofold__graph(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440]) ).
cnf(i_0_3008,plain,
~ c_lessequals(c_Finite__Set_Ofold__graph(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_2577]) ).
cnf(i_0_3009,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_3010,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1440]) ).
cnf(i_0_3011,plain,
~ c_Fun_Obij(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2482,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166]) ).
cnf(i_0_3012,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2482]) ).
cnf(i_0_3013,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Obij(X1,X3,X4)
| c_Finite__Set_Ofinite(X2,X4) ),
inference(rename_variables,[],[i_0_1166]) ).
cnf(i_0_3014,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),X4),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),X5,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2482,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443]) ).
cnf(i_0_3015,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2712]) ).
cnf(i_0_3016,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1443]) ).
cnf(i_0_3017,plain,
~ c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2482,i_0_3012,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109]) ).
cnf(i_0_3018,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2482]) ).
cnf(i_0_3019,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| c_Finite__Set_Ofinite(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(rename_variables,[],[i_0_1109]) ).
cnf(i_0_3020,plain,
c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),tc_bool)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118]) ).
cnf(i_0_3021,plain,
c_lessequals(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2442]) ).
cnf(i_0_3022,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2482]) ).
cnf(i_0_3023,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X1,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Fun_Oinj__on(X2,X1,X3,X3) ),
inference(rename_variables,[],[i_0_1118]) ).
cnf(i_0_3024,plain,
c_Fun_Oinj__on(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),X4,X5,X3,X1),X6,X7,X3,X1),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),X3,X1),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1086,i_0_1190,i_0_2928,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998]) ).
cnf(i_0_3025,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X5,X6),X6)),
inference(rename_variables,[],[i_0_2508]) ).
cnf(i_0_3026,plain,
( hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
| c_Fun_Oinj__on(c_Fun_Ofun__upd(X2,X6,X1,X4,X5),X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X5) ),
inference(rename_variables,[],[i_0_998]) ).
cnf(i_0_3027,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Suc(v_G),tc_nat),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563]) ).
cnf(i_0_3028,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_3029,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1563]) ).
cnf(i_0_3030,plain,
c_lessequals(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)),X5)),X6),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_2484,i_0_2901,i_0_2963,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325]) ).
cnf(i_0_3031,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_3032,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4)),X5),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2454]) ).
cnf(i_0_3033,plain,
( hBOOL(c_in(X1,X2,X3))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1325]) ).
cnf(i_0_3034,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),v_U),v_U),tc_Com_Opname),
inference(scs_inference,[],[i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484]) ).
cnf(i_0_3035,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),X1),v_U),X1,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
inference(rename_variables,[],[i_0_2719]) ).
cnf(i_0_3036,plain,
( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1484]) ).
cnf(i_0_3037,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),v_U),X1)),X2),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124]) ).
cnf(i_0_3038,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4)),X5),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2454]) ).
cnf(i_0_3039,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_3040,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(c_Suc(X1))),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_2370,i_0_984,i_0_1716,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615]) ).
cnf(i_0_3041,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1615]) ).
cnf(i_0_3042,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Set_Ovimage(X3,c_Set_Oimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X6),X7,X8),tc_fun(X9,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598]) ).
cnf(i_0_3043,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5,X6),X7)),
inference(rename_variables,[],[i_0_2434]) ).
cnf(i_0_3044,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1598]) ).
cnf(i_0_3045,plain,
~ c_lessequals(c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102]) ).
cnf(i_0_3046,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_3047,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1102]) ).
cnf(i_0_3048,plain,
c_lessequals(hAPP(X1,v_x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v_U,X1,tc_Com_Opname,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199]) ).
cnf(i_0_3049,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
inference(rename_variables,[],[i_0_1199]) ).
cnf(i_0_3050,plain,
c_lessequals(c_Set_Oinsert(hAPP(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322]) ).
cnf(i_0_3051,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3052,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_3053,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1322]) ).
cnf(i_0_3054,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),c_COMBK(X4,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6),X3),X3,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6)) = X4,
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2374,i_0_1719,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378]) ).
cnf(i_0_3055,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
| ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
inference(rename_variables,[],[i_0_1378]) ).
cnf(i_0_3056,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_2374,i_0_1719,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462]) ).
cnf(i_0_3057,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2230]) ).
cnf(i_0_3058,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1462]) ).
cnf(i_0_3059,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X2),X1)),X3),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_2374,i_0_1719,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464]) ).
cnf(i_0_3060,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2230]) ).
cnf(i_0_3061,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1464]) ).
cnf(i_0_3062,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),X3),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_1719,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468]) ).
cnf(i_0_3063,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2230]) ).
cnf(i_0_3064,plain,
( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1468]) ).
cnf(i_0_3065,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_1719,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472]) ).
cnf(i_0_3066,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_2133]) ).
cnf(i_0_3067,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1472]) ).
cnf(i_0_3068,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X2,tc_bool),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474]) ).
cnf(i_0_3069,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_2133]) ).
cnf(i_0_3070,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1474]) ).
cnf(i_0_3071,plain,
c_lessequals(c_Complete__Lattice_OInf__class_OInf(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),hAPP(X1,X5),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505]) ).
cnf(i_0_3072,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3073,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X3),X1,X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_1505]) ).
cnf(i_0_3074,plain,
~ class_Complete__Lattice_Ocomplete__lattice(tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506]) ).
cnf(i_0_3075,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3076,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3077,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_1506]) ).
cnf(i_0_3078,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X3))),X2,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525]) ).
cnf(i_0_3079,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3080,plain,
( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1525]) ).
cnf(i_0_3081,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X3))),X3,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527]) ).
cnf(i_0_3082,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3083,plain,
( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1527]) ).
cnf(i_0_3084,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X2),X3))),X2,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528]) ).
cnf(i_0_3085,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3086,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1528]) ).
cnf(i_0_3087,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X2),X3))),X3,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529]) ).
cnf(i_0_3088,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3089,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1529]) ).
cnf(i_0_3090,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),X2,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533]) ).
cnf(i_0_3091,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2288]) ).
cnf(i_0_3092,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1533]) ).
cnf(i_0_3093,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3),X1,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534]) ).
cnf(i_0_3094,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2288]) ).
cnf(i_0_3095,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1534]) ).
cnf(i_0_3096,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3),X2,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535]) ).
cnf(i_0_3097,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2288]) ).
cnf(i_0_3098,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1535]) ).
cnf(i_0_3099,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541]) ).
cnf(i_0_3100,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X2,tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2491]) ).
cnf(i_0_3101,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_3102,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_1541]) ).
cnf(i_0_3103,plain,
hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)),X6),X1,X7),hAPP(hAPP(c_HOL_Oplus__class_Oplus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)),X6),X8)) = X8,
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628]) ).
cnf(i_0_3104,plain,
hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4))) = hAPP(X1,X4),
inference(rename_variables,[],[i_0_2046]) ).
cnf(i_0_3105,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
| X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
inference(rename_variables,[],[i_0_1628]) ).
cnf(i_0_3106,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X3,v_U,tc_Com_Opname,X1)),X4)),X2,tc_fun(X1,tc_bool)),X1),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160]) ).
cnf(i_0_3107,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_2488]) ).
cnf(i_0_3108,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_1160]) ).
cnf(i_0_3109,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(X2,X3),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X5),X5),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323]) ).
cnf(i_0_3110,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3111,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_3112,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1323]) ).
cnf(i_0_3113,plain,
~ c_lessequals(v_U,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374]) ).
cnf(i_0_3114,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_3115,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1374]) ).
cnf(i_0_3116,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = c_Finite__Set_Ocard(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427]) ).
cnf(i_0_3117,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3118,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2482]) ).
cnf(i_0_3119,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1427]) ).
cnf(i_0_3120,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466]) ).
cnf(i_0_3121,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2230]) ).
cnf(i_0_3122,plain,
( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1466]) ).
cnf(i_0_3123,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X3)),X2,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476]) ).
cnf(i_0_3124,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),X2,tc_nat),
inference(rename_variables,[],[i_0_2251]) ).
cnf(i_0_3125,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1476]) ).
cnf(i_0_3126,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X3)),X3,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478]) ).
cnf(i_0_3127,plain,
c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),X2,tc_nat),
inference(rename_variables,[],[i_0_2251]) ).
cnf(i_0_3128,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_1478]) ).
cnf(i_0_3129,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X3)),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522]) ).
cnf(i_0_3130,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1),tc_nat),
inference(rename_variables,[],[i_0_2267]) ).
cnf(i_0_3131,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1522]) ).
cnf(i_0_3132,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X3),X1)),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523]) ).
cnf(i_0_3133,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1),tc_nat),
inference(rename_variables,[],[i_0_2267]) ).
cnf(i_0_3134,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1523]) ).
cnf(i_0_3135,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),X1,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531]) ).
cnf(i_0_3136,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2288]) ).
cnf(i_0_3137,plain,
( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1531]) ).
cnf(i_0_3138,plain,
~ c_lessequals(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(c_Suc(hAPP(X1,X2)))),X1,tc_fun(X3,tc_nat)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546]) ).
cnf(i_0_3139,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
| ~ c_lessequals(X1,X3,tc_fun(X5,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1546]) ).
cnf(i_0_3140,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375]) ).
cnf(i_0_3141,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_3142,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1375]) ).
cnf(i_0_3143,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)) = c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494]) ).
cnf(i_0_3144,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_3145,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2482]) ).
cnf(i_0_3146,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1494]) ).
cnf(i_0_3147,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X3)),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519]) ).
cnf(i_0_3148,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1),tc_nat),
inference(rename_variables,[],[i_0_2267]) ).
cnf(i_0_3149,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_3150,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X3),X1)),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521]) ).
cnf(i_0_3151,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1),tc_nat),
inference(rename_variables,[],[i_0_2267]) ).
cnf(i_0_3152,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1521]) ).
cnf(i_0_3153,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a))),X1),v_G,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2742,i_0_2734,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575]) ).
cnf(i_0_3154,plain,
c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat),
inference(rename_variables,[],[i_0_2230]) ).
cnf(i_0_3155,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1575]) ).
cnf(i_0_3156,plain,
X1 = c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),tc_nat),X3,X5),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6)),X7),hAPP(hAPP(c_HOL_Oplus__class_Oplus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),tc_nat),X3,X5),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6)),X7),X1),X2,X8),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629]) ).
cnf(i_0_3157,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X1,hAPP(X1,X2),X3,X4)),
inference(rename_variables,[],[i_0_2037]) ).
cnf(i_0_3158,plain,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
| X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_3159,plain,
c_Finite__Set_Ofinite(c_Set_Oinsert(v_x,v_U,tc_Com_Opname),tc_Com_Opname),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651]) ).
cnf(i_0_3160,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1651]) ).
cnf(i_0_3161,plain,
~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),X6)),X7),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198]) ).
cnf(i_0_3162,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4)),X5),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2454]) ).
cnf(i_0_3163,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_1198]) ).
cnf(i_0_3164,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),c_Set_Oinsert(hAPP(X2,X5),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281]) ).
cnf(i_0_3165,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3166,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2218]) ).
cnf(i_0_3167,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1281]) ).
cnf(i_0_3168,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a)),X3)),X4),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442]) ).
cnf(i_0_3169,plain,
c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4)),X5),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2454]) ).
cnf(i_0_3170,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1442]) ).
cnf(i_0_3171,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X3),X1))),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470]) ).
cnf(i_0_3172,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2374]) ).
cnf(i_0_3173,plain,
( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1470]) ).
cnf(i_0_3174,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),v_U),X1),c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508]) ).
cnf(i_0_3175,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1508]) ).
cnf(i_0_3176,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X3))),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469]) ).
cnf(i_0_3177,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1)),tc_nat),
inference(rename_variables,[],[i_0_2374]) ).
cnf(i_0_3178,plain,
( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1469]) ).
cnf(i_0_3179,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),X2,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616]) ).
cnf(i_0_3180,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1616]) ).
cnf(i_0_3181,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1850,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617]) ).
cnf(i_0_3182,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1617]) ).
cnf(i_0_3183,plain,
c_lessequals(X1,c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),X4,X5),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1850,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727]) ).
cnf(i_0_3184,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_3185,plain,
~ c_HOL_Oord__class_Oless(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(hAPP(X1,X2))),X1,tc_fun(X3,tc_nat)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1850,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577]) ).
cnf(i_0_3186,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1577]) ).
cnf(i_0_3187,plain,
~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(c_Suc(hAPP(X1,X2)))),X2),hAPP(X1,X2),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620]) ).
cnf(i_0_3188,plain,
c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(c_Suc(X1))),X2),tc_nat),
inference(rename_variables,[],[i_0_2859]) ).
cnf(i_0_3189,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1620]) ).
cnf(i_0_3190,plain,
c_lessequals(X1,c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X2),X1)),tc_nat),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731]) ).
cnf(i_0_3191,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1731]) ).
cnf(i_0_3192,plain,
~ c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool)),X4,c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6,tc_fun(X5,tc_bool))),c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2734,i_0_2865,i_0_2577,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944]) ).
cnf(i_0_3193,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3194,plain,
~ c_Fun_Obij(c_HOL_Ominus__class_Ominus(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool)),X4,c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),tc_bool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X7,tc_bool)),c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X9,X8,tc_fun(X7,tc_bool)))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2865,i_0_2577,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945]) ).
cnf(i_0_3195,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3196,plain,
~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2865,i_0_2577,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929]) ).
cnf(i_0_3197,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3198,plain,
~ c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X6,tc_bool)),tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)),X8,X7,tc_fun(X6,tc_bool)))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930]) ).
cnf(i_0_3199,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3200,plain,
tc_bool != c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982]) ).
cnf(i_0_3201,plain,
~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X2,tc_bool))),c_Fun_Ofun__upd(tc_nat,X5,hAPP(tc_nat,X5),X6,X7),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928]) ).
cnf(i_0_3202,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3203,plain,
~ c_Fun_Obij(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),tc_bool)),X5,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6,tc_fun(X1,tc_bool))),c_HOL_Ominus__class_Ominus(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943]) ).
cnf(i_0_3204,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3205,plain,
~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Fun_Ofun__upd(tc_nat,X3,hAPP(tc_nat,X3),X4,X5)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6,tc_fun(X2,tc_bool)))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926]) ).
cnf(i_0_3206,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3207,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931]) ).
cnf(i_0_3208,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3209,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932]) ).
cnf(i_0_3210,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),tc_fun(t_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933]) ).
cnf(i_0_3211,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3212,plain,
~ c_HOL_Oord__class_Oless(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),tc_nat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938]) ).
cnf(i_0_3213,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3214,plain,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) != tc_nat,
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2782,i_0_2774,i_0_2776,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941]) ).
cnf(i_0_3215,plain,
class_Ring__and__Field_Osemiring(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2782,i_0_2748,i_0_2774,i_0_2776,i_0_2537,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942]) ).
cnf(i_0_3216,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3217,plain,
class_Orderings_Olinorder(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2782,i_0_2748,i_0_2750,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957]) ).
cnf(i_0_3218,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3219,plain,
class_Lattices_Olattice(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2782,i_0_2748,i_0_2750,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958]) ).
cnf(i_0_3220,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3221,plain,
class_Ring__and__Field_Ocomm__semiring__1(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959]) ).
cnf(i_0_3222,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3223,plain,
class_Lattices_Odistrib__lattice(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961]) ).
cnf(i_0_3224,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3225,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962]) ).
cnf(i_0_3226,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3227,plain,
class_Ring__and__Field_Ocomm__semiring(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967]) ).
cnf(i_0_3228,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3229,plain,
class_OrderedGroup_Opordered__ab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970]) ).
cnf(i_0_3230,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3231,plain,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971]) ).
cnf(i_0_3232,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3233,plain,
class_OrderedGroup_Oab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972]) ).
cnf(i_0_3234,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3235,plain,
class_HOL_Oord(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973]) ).
cnf(i_0_3236,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3237,plain,
class_HOL_Ominus(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975]) ).
cnf(i_0_3238,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3239,plain,
class_OrderedGroup_Ocomm__monoid__add(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976]) ).
cnf(i_0_3240,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3241,plain,
class_OrderedGroup_Ocancel__semigroup__add(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978]) ).
cnf(i_0_3242,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3243,plain,
class_OrderedGroup_Ocancel__ab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979]) ).
cnf(i_0_3244,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3245,plain,
class_Lattices_Obounded__lattice(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981]) ).
cnf(i_0_3246,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3247,plain,
class_Orderings_Obot(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983]) ).
cnf(i_0_3248,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3249,plain,
class_Finite__Set_Ofinite_Ofinite(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984]) ).
cnf(i_0_3250,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3251,plain,
class_OrderedGroup_Oab__semigroup__mult(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),tc_nat),X1,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985]) ).
cnf(i_0_3252,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3253,plain,
class_Lattices_Oupper__semilattice(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988]) ).
cnf(i_0_3254,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3255,plain,
class_Lattices_Olower__semilattice(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989]) ).
cnf(i_0_3256,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3257,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4) != hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965]) ).
cnf(i_0_3258,plain,
hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)) != hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X4,tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856]) ).
cnf(i_0_3259,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3260,plain,
~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X4,hAPP(tc_nat,X4),X5,X6),c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)),tc_fun(X7,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_2742,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925]) ).
cnf(i_0_3261,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3262,plain,
~ c_HOL_Oord__class_Oless(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_2742,i_0_2744,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936]) ).
cnf(i_0_3263,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(rename_variables,[],[i_0_2744]) ).
cnf(i_0_3264,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937]) ).
cnf(i_0_3265,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(rename_variables,[],[i_0_2744]) ).
cnf(i_0_3266,plain,
class_Orderings_Oorder(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960]) ).
cnf(i_0_3267,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3268,plain,
class_Orderings_Opreorder(c_HOL_Ominus__class_Ominus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977]) ).
cnf(i_0_3269,plain,
X1 = c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2537]) ).
cnf(i_0_3270,plain,
~ c_Complete__Lattice_Ocomplete__lattice(v_G,X1,X2,X3,X4,X5,c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Otop__class_Otop(tc_fun(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_bool)))),X6,v_G),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954]) ).
cnf(i_0_3271,plain,
~ c_Complete__Lattice_Ocomplete__lattice(v_G,X1,X2,X3,X4,X5,c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)))),X7,X6),
inference(rename_variables,[],[i_0_2156]) ).
cnf(i_0_3272,plain,
~ c_Complete__Lattice_Ocomplete__lattice(v_G,X1,X2,X3,X4,X5,X6,c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X7),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2028,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946]) ).
cnf(i_0_3273,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X8),
inference(rename_variables,[],[i_0_2028]) ).
cnf(i_0_3274,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,v_G,X2,X3,X4,X5,c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)))),X7,X6),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947]) ).
cnf(i_0_3275,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,X7),
inference(rename_variables,[],[i_0_2031]) ).
cnf(i_0_3276,plain,
~ c_Complete__Lattice_Ocomplete__lattice(v_G,X1,X2,X3,X4,X5,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X6,tc_bool)),c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool))))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X9,X8,tc_fun(X6,tc_bool))),X10,X7),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952]) ).
cnf(i_0_3277,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3278,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,v_G,X2,X3,X4,X5,X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X7,tc_bool)),c_Suc(hAPP(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool))))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X10,X9,tc_fun(X7,tc_bool))),X8),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953]) ).
cnf(i_0_3279,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1190]) ).
cnf(i_0_3280,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552]) ).
cnf(i_0_3281,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1764]) ).
cnf(i_0_3282,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1552]) ).
cnf(i_0_3283,plain,
~ c_HOL_Oord__class_Oless(c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X2,c_Set_Oinsert(X3,X4,X5),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X3),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553]) ).
cnf(i_0_3284,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(rename_variables,[],[i_0_2164]) ).
cnf(i_0_3285,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2847]) ).
cnf(i_0_3286,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1553]) ).
cnf(i_0_3287,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(c_Suc(X1)),X2,hAPP(c_Suc(c_Suc(X1)),X2),X3,X4),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550]) ).
cnf(i_0_3288,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(rename_variables,[],[i_0_2143]) ).
cnf(i_0_3289,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1550]) ).
cnf(i_0_3290,plain,
~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),tc_nat,X3),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983]) ).
cnf(i_0_3291,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
inference(rename_variables,[],[i_0_2514]) ).
cnf(i_0_3292,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),c_The(c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(X3),X4,X2,X3,X3),X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_983]) ).
cnf(i_0_3293,plain,
c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),c_Set_Oimage(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))),hAPP(X3,X5),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394]) ).
cnf(i_0_3294,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3295,plain,
class_Lattices_Olower__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2788]) ).
cnf(i_0_3296,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X3),X3),X2),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1394]) ).
cnf(i_0_3297,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487]) ).
cnf(i_0_3298,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_3299,plain,
~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
inference(rename_variables,[],[i_0_2370]) ).
cnf(i_0_3300,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,hAPP(c_Finite__Set_Olinorder__class_OMax(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1487]) ).
cnf(i_0_3301,plain,
c_Finite__Set_Osetsum(X1,c_Set_Oinsert(v_x,c_HOL_Ominus__class_Ominus(v_U,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_Com_Opname,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)),hAPP(X1,v_x)),c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(v_U,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),tc_nat),X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134]) ).
cnf(i_0_3302,plain,
~ hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(X1,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)),
inference(rename_variables,[],[i_0_2195]) ).
cnf(i_0_3303,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(v_U,X1,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
inference(rename_variables,[],[i_0_2325]) ).
cnf(i_0_3304,plain,
( hBOOL(c_in(X1,X2,X3))
| c_Finite__Set_Osetsum(X4,c_Set_Oinsert(X1,X2,X3),X3,X5) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(X4,X1)),c_Finite__Set_Osetsum(X4,X2,X3,X5))
| ~ class_OrderedGroup_Ocomm__monoid__add(X5)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_1134]) ).
cnf(i_0_3305,plain,
c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1),X1),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_3101,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_1410,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134,i_0_1282]) ).
cnf(i_0_3306,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_3307,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_3308,plain,
( hBOOL(c_in(X1,X2,X3))
| c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_3309,plain,
c_HOL_Oord__class_Oless(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Set_Oinsert(X4,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_3144,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_3101,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_3021,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_1410,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134,i_0_1282,i_0_1290]) ).
cnf(i_0_3310,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_3311,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_2484]) ).
cnf(i_0_3312,plain,
c_lessequals(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2442]) ).
cnf(i_0_3313,plain,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1290]) ).
cnf(i_0_3314,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v_x,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Com_Opname,tc_bool)),v_U),c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool))),v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_3144,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_3101,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_3015,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_3021,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_3302,i_0_1410,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134,i_0_1282,i_0_1290,i_0_1106]) ).
cnf(i_0_3315,plain,
~ hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(X1,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)),
inference(rename_variables,[],[i_0_2195]) ).
cnf(i_0_3316,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_2712]) ).
cnf(i_0_3317,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_3318,plain,
c_HOL_Oord__class_Oless(X1,c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),tc_nat),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_3144,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_3288,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_3101,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_3015,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_3021,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2993,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_3302,i_0_1410,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134,i_0_1282,i_0_1290,i_0_1106,i_0_1594]) ).
cnf(i_0_3319,plain,
~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
inference(rename_variables,[],[i_0_2143]) ).
cnf(i_0_3320,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1594]) ).
cnf(i_0_3321,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_3144,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_3288,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_3101,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2857,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_3015,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_3021,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2993,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_3302,i_0_1720,i_0_1410,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134,i_0_1282,i_0_1290,i_0_1106,i_0_1594,i_0_1236]) ).
cnf(i_0_3322,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1720]) ).
cnf(i_0_3323,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(rename_variables,[],[i_0_2790]) ).
cnf(i_0_3324,plain,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_lessequals(X2,X5,X3)
| ~ c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_3325,plain,
~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)),
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_3144,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_3288,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_3101,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2857,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_2712,i_0_3015,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_3021,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2993,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_3302,i_0_1720,i_0_1410,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134,i_0_1282,i_0_1290,i_0_1106,i_0_1594,i_0_1236,i_0_1189]) ).
cnf(i_0_3326,plain,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
inference(rename_variables,[],[i_0_1189]) ).
cnf(i_0_3327,plain,
$false,
inference(scs_inference,[],[i_0_1004,i_0_1751,i_0_2730,i_0_1817,i_0_1545,i_0_2156,i_0_3271,i_0_2157,i_0_2168,i_0_2149,i_0_2484,i_0_2901,i_0_2963,i_0_3031,i_0_3046,i_0_3114,i_0_3141,i_0_3144,i_0_2019,i_0_2746,i_0_2752,i_0_2756,i_0_2768,i_0_2770,i_0_2778,i_0_2780,i_0_2782,i_0_2786,i_0_2788,i_0_2790,i_0_2748,i_0_2750,i_0_2754,i_0_2758,i_0_2760,i_0_2762,i_0_2764,i_0_2766,i_0_2772,i_0_2774,i_0_2776,i_0_2784,i_0_2537,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_3234,i_0_3236,i_0_3238,i_0_3240,i_0_3242,i_0_3244,i_0_3246,i_0_3248,i_0_3250,i_0_3252,i_0_3254,i_0_3256,i_0_3267,i_0_2742,i_0_2744,i_0_3263,i_0_2880,i_0_2734,i_0_2867,i_0_2865,i_0_2736,i_0_2577,i_0_2861,i_0_2869,i_0_2145,i_0_2143,i_0_3288,i_0_2164,i_0_1764,i_0_3028,i_0_1850,i_0_1852,i_0_1086,i_0_3051,i_0_3072,i_0_3075,i_0_3110,i_0_3117,i_0_3165,i_0_3294,i_0_2405,i_0_1190,i_0_2928,i_0_3006,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3211,i_0_3213,i_0_3259,i_0_3261,i_0_3277,i_0_2028,i_0_2031,i_0_2413,i_0_2230,i_0_3057,i_0_3060,i_0_3063,i_0_3121,i_0_2288,i_0_3091,i_0_3094,i_0_3097,i_0_2374,i_0_2982,i_0_3172,i_0_2133,i_0_3066,i_0_1719,i_0_1090,i_0_2221,i_0_2370,i_0_2922,i_0_3076,i_0_3079,i_0_3082,i_0_3085,i_0_3088,i_0_2251,i_0_3124,i_0_2267,i_0_3130,i_0_3133,i_0_3148,i_0_2325,i_0_1820,i_0_984,i_0_1716,i_0_3009,i_0_3052,i_0_3101,i_0_1847,i_0_2496,i_0_2061,i_0_2508,i_0_2434,i_0_2904,i_0_2812,i_0_2857,i_0_2554,i_0_2201,i_0_2714,i_0_2323,i_0_2574,i_0_2488,i_0_2934,i_0_2491,i_0_2847,i_0_2454,i_0_3032,i_0_3038,i_0_3162,i_0_2482,i_0_3012,i_0_3018,i_0_3022,i_0_3118,i_0_3145,i_0_2712,i_0_3015,i_0_2083,i_0_2949,i_0_2851,i_0_2077,i_0_2916,i_0_2836,i_0_2442,i_0_3021,i_0_2664,i_0_2479,i_0_2530,i_0_2977,i_0_2993,i_0_2504,i_0_2966,i_0_2519,i_0_2636,i_0_2551,i_0_2974,i_0_2709,i_0_2999,i_0_2878,i_0_2615,i_0_2657,i_0_2514,i_0_2525,i_0_2859,i_0_2719,i_0_2046,i_0_2037,i_0_2218,i_0_3111,i_0_1844,i_0_2195,i_0_3302,i_0_1720,i_0_1410,i_0_1838,i_0_1839,i_0_1843,i_0_1845,i_0_1197,i_0_1654,i_0_980,i_0_1056,i_0_1110,i_0_1112,i_0_1121,i_0_1188,i_0_1231,i_0_1232,i_0_1705,i_0_1760,i_0_1761,i_0_1781,i_0_1058,i_0_1150,i_0_1182,i_0_1376,i_0_1385,i_0_1561,i_0_1814,i_0_1233,i_0_1234,i_0_1653,i_0_1591,i_0_1008,i_0_1089,i_0_1005,i_0_1708,i_0_1713,i_0_1622,i_0_1670,i_0_1685,i_0_1599,i_0_1688,i_0_1748,i_0_1668,i_0_1707,i_0_1687,i_0_1734,i_0_1655,i_0_1855,i_0_951,i_0_1948,i_0_1440,i_0_1166,i_0_1443,i_0_1109,i_0_1118,i_0_998,i_0_1563,i_0_1325,i_0_1484,i_0_1124,i_0_1615,i_0_1598,i_0_1102,i_0_1199,i_0_1322,i_0_1378,i_0_1462,i_0_1464,i_0_1468,i_0_1472,i_0_1474,i_0_1505,i_0_1506,i_0_1525,i_0_1527,i_0_1528,i_0_1529,i_0_1533,i_0_1534,i_0_1535,i_0_1541,i_0_1628,i_0_1160,i_0_1323,i_0_1374,i_0_1427,i_0_1466,i_0_1476,i_0_1478,i_0_1522,i_0_1523,i_0_1531,i_0_1546,i_0_1375,i_0_1494,i_0_1519,i_0_1521,i_0_1575,i_0_1629,i_0_1651,i_0_1198,i_0_1281,i_0_1442,i_0_1470,i_0_1508,i_0_1469,i_0_1616,i_0_1617,i_0_1727,i_0_1577,i_0_1620,i_0_1731,i_0_1944,i_0_1945,i_0_1929,i_0_1930,i_0_1982,i_0_1928,i_0_1943,i_0_1926,i_0_1931,i_0_1932,i_0_1933,i_0_1938,i_0_1941,i_0_1942,i_0_1957,i_0_1958,i_0_1959,i_0_1961,i_0_1962,i_0_1967,i_0_1970,i_0_1971,i_0_1972,i_0_1973,i_0_1975,i_0_1976,i_0_1978,i_0_1979,i_0_1981,i_0_1983,i_0_1984,i_0_1985,i_0_1988,i_0_1989,i_0_1965,i_0_1856,i_0_1925,i_0_1936,i_0_1937,i_0_1960,i_0_1977,i_0_1954,i_0_1946,i_0_1947,i_0_1952,i_0_1953,i_0_1552,i_0_1553,i_0_1550,i_0_983,i_0_1394,i_0_1487,i_0_1134,i_0_1282,i_0_1290,i_0_1106,i_0_1594,i_0_1236,i_0_1189,i_0_1289]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV879-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 06:06:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.44/2.68 % Version : CSE_E---1.7
% 3.44/2.68 % Problem : theBenchmark.p
% 3.44/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 3.44/2.68 % SZS output start CNFRefutation
% See solution above
% 21.81/21.11 % Total time : 2.332s
%------------------------------------------------------------------------------